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In article formation of a concept of dual training, and also in the article deals the program of industrial robotics, В статье рассматривается становление понятия дуальное обучение, а также приводится программа промышленной робототехники

In this paper, there are discussed questions and features of college’s students’s training for their participation in regional, national and world WorldSkills championships. It is describe that such training should rely not only on traditional Russian methods of preparing participants for professional competitions, but also on WorldSkills standards, Рассматриваются вопросы и особенности подготовки студентов системы СПО к участию в региональных, национальных и мировых чемпионатах WorldSkills. Показано, что такая подготовка должна опираться не только на традиционные российские методики подготовки участников к профессиональным конкурсам, но и на стандарты WorldSkills

© Research India Publications. The objective diagnostics of mental disorders at early developmental stages is obstructed due to absence of instrumental method of fixation, though relation of such disease to inevitable changes in the activity of separate areas of the brain cortex of a man seems evident, One of the limitations of instrumental diagnosis of psychiatric disturbances is a study of the signals of human brain activity: electroencephalogram (EEG), magnetoencephalogram (МEG), reflecting functional activity of different brain regions. Within the framework of formalism of memory functions (FMF) the present work analyses the spectral properties and effects of statistic memory of bioelectric activity of the cerebral cortex of healthy subjects and patients with bipolar affective disorder (BAD) for the purpose of determination of diagnostic criteria. FMF is a method that allows to bring in a complex of information measures for quantitative comparison of correlation fall time and existence of statistic memory in the dynamics under. In the course of FMF-analysis it has been discovered the characteristic forms of power spectra in the presence of BAD, and also the regions, for which the degree of manifestation of statistic memory in the dynamics of EEG-signals of healthy subjects and patients is cardinally discriminated. Substantial alterations of frequency behaviour of EEG-signals and effects of statistic memory for separate areas of human brain cortices can serve initial criteria for identification of BAD. The work observes the possibilities of using EEG-records in the development of objective methods of detection and identification of neuropsychopathy.

© Published under licence by IOP Publishing Ltd. In this paper the problem of the lunar center of mass relative to the center of its figure determination on the basis of space observations is considered, since the Moon is the most studied celestial object and there is a complete database on it. The future prospects for lunar laser ranging and radio interferometry require development of adequate theoretical support for modern technologies. The aim of these studies is the distances' measurement between the Moon and the Earth with an accuracy of 1 mm. Thus, determination of the lunar center of mass position, represented in this paper, and development of the selenocentric system will allow to solve the above mentioned problem more accurately and reliably. The new values of the lunar center of mass relative to its center of figure in orthogonal selenographic coordinate system Δξ, Δη, Δζ have been determined; they are: -1.75, -0.75, 0.11 km respectively.

© Research India Publications. The objective diagnostics of mental disorders at early developmental stages is obstructed due to absence of instrumental method of fixation, though relation of such disease to inevitable changes in the activity of separate areas of the brain cortex of a man seems evident, One of the limitations of instrumental diagnosis of psychiatric disturbances is a study of the signals of human brain activity: electroencephalogram (EEG), magnetoencephalogram (МEG), reflecting functional activity of different brain regions. Within the framework of formalism of memory functions (FMF) the present work analyses the spectral properties and effects of statistic memory of bioelectric activity of the cerebral cortex of healthy subjects and patients with bipolar affective disorder (BAD) for the purpose of determination of diagnostic criteria. FMF is a method that allows to bring in a complex of information measures for quantitative comparison of correlation fall time and existence of statistic memory in the dynamics under. In the course of FMF-analysis it has been discovered the characteristic forms of power spectra in the presence of BAD, and also the regions, for which the degree of manifestation of statistic memory in the dynamics of EEG-signals of healthy subjects and patients is cardinally discriminated. Substantial alterations of frequency behaviour of EEG-signals and effects of statistic memory for separate areas of human brain cortices can serve initial criteria for identification of BAD. The work observes the possibilities of using EEG-records in the development of objective methods of detection and identification of neuropsychopathy.

The study of social networks and especially of stochastic dynamics of diseases spread in human population has recently attracted considerable attention in statistical physics. In this work we present a new statistical method of analyzing the spread of epidemic processes of grippe and acute respiratory track infections (ARTI) by means of the theory of discrete non-Markov stochastic processes. We use the results of our last theory (Phys. Rev. E 65 (2002) 046107) to study statistical memory effects, long-range correlation and discreteness in real data series, describing the epidemic dynamics of human ARTI infections and grippe. We have carried out the comparative analysis of the data of the two infections (grippe and ARTI) in one of the industrial districts of Kazan, one of the largest cities of Russia. The experimental data are analyzed by the power spectra of the initial time correlation function and the memory functions of junior orders, the phase portraits of the four first dynamic variables, the three first points of the statistical non-Markov parameter and the locally averaged kinetic and relaxation parameters. The received results give an opportunity to provide a strict quantitative description of regular and stochastic components in epidemic dynamics of social networks taking into account their time discreteness and effects of statistical memory. They also allow to reveal the degree of randomness and predictability of the real epidemic process in the specific social network. © 2003 Elsevier B.V. All rights reserved.

The study of social networks and especially of stochastic dynamics of diseases spread in human population has recently attracted considerable attention in statistical physics. In this work we present a new statistical method of analyzing the spread of epidemic processes of grippe and acute respiratory track infections (ARTI) by means of the theory of discrete non-Markov stochastic processes. We use the results of our last theory (Phys. Rev. E 65 (2002) 046107) to study statistical memory effects, long-range correlation and discreteness in real data series, describing the epidemic dynamics of human ARTI infections and grippe. We have carried out the comparative analysis of the data of the two infections (grippe and ARTI) in one of the industrial districts of Kazan, one of the largest cities of Russia. The experimental data are analyzed by the power spectra of the initial time correlation function and the memory functions of junior orders, the phase portraits of the four first dynamic variables, the three first points of the statistical non-Markov parameter and the locally averaged kinetic and relaxation parameters. The received results give an opportunity to provide a strict quantitative description of regular and stochastic components in epidemic dynamics of social networks taking into account their time discreteness and effects of statistical memory. They also allow to reveal the degree of randomness and predictability of the real epidemic process in the specific social network. © 2003 Elsevier B.V. All rights reserved.

© 2018, International Multidisciplinary Scientific Geoconference. All rights reserved. The present paper focuses on describing the method of bringing dynamic space images of various celestial objects to the uniform reference system. This approach is designed to analyze coordinate and time parameters of cosmic bodies in various phase spaces. Based on this method, images of the Moon and stellar areas obtained with CCD-matrixes were studied. As a result, reducing the images to the single system achieved the accuracy between 0.05 and 0.11 arc seconds by declination and between 0.04 and 0.13 arc seconds by right ascension. The work also contains practical results on the analysis of the system of images whose coordinate systems are in various phase spaces. On the basis of this absolute method, one may transform coordinates of the objects studied into the inertial coordinate system with an accuracy sufficient for astrometric measurements. The results of the present work are of great importance in the fields of space astrometry and geodesy. Positional observations of a space object (e.g. the surface of the Moon) could be taken using 3 methods: 1) Getting an image of only studied objects without synchronized coordinate binding to a stellar field; 2) CCD-camera binding to a system of stars; 3) Taking observations of a space object with photographing it against a background of weaker stars. According to the difference of reference stars’ coordinates, the observed value minus the calculated value (O-C) binding quality of the lunar image to the star image was determined. Similar differences are calculated by the analysis of digital maps. As a result, it was determined that, on average, the value of (O-C) is 0.04 ± 0.13 arc seconds by right ascension and is 0.05 ± 0.11 arc seconds by declination. Thus, it may be concluded that binding of the system of two images using marks is carried out with sufficient accuracy.

© 2018 by IOP Publishing Ltd. The present paper focuses on the analysis of modern lunar missions and ground-based projects, such as "Chandrayaan -1", "Chandrayaan -2", "Chang'e 1", "Chang'e 2", "Chang'e 3", "Clementine", "GRAIL", "KAGUYA", "LRO/LCROSS", "LRO", Lunar Laser Ranging, "Lunar Prospector", "SMART-1". The methods and algorithms of constructing a dynamic model of the lunar physical surface as well the results are considered. A particular attention is given to the "LRO" project which was the first step towards implementation of the long-term program on creating manned lunar bases. Essential information on lunar dynamics was provided by observations of the Moon's physical libration, since the study of celestial objects' rotation allows for understanding their complex internal structure, particularly, when there is no opportunity to use other methods.

© 2018 by IOP Publishing Ltd. During the implementation of space missions on study of the Solar system a large amount of information on planets geophysics and their morphological properties has been obtained, that could be investigated using fractal geometry. The present paper describes the analysis of the GDEM terrestrial digital model built from the ASTER's observations. GDEM is global digital elevation model and ASTER is advanced spaceborne thermal emission and reflection radiometer. ASTER was installed on the platform of Terra (NASA) orbiter. In our study we used robust methods and fractal analysis. The fractal dimension values for the terrestrial surface, which has a heterogeneous structure, are obtained. The fractal dimensions are determined for geographical latitudes. Independent estimates of the Earth's macrostructure that could be used for a new interpretation of geophysical processes have been obtained as well.

© Published under licence by IOP Publishing Ltd. On the basis of satellite observations taken during "Apollo", "Clementine", "Kaguya", "LRO", "GRAIL", and "SMART-1" space missions a model of lunar physical surface of 18th order of expansion into a series of harmonic coefficients was constructed. In order to expand the data on relief into spherical functions a step-by-step regression was applied. All the constructed models included only significant elements. The regression analysis of the models of lunar relief for various expansion orders was carried out; as a result, it was determined that increase in order of expansion did not play a prominent role from a certain stage. The influence of model's overdetermined structure on values of the parameters determined was also investigated.

© Published under licence by IOP Publishing Ltd. In paper the Memory functions formalism (MFF) is used to analyze the dynamics of walking stride interval of healthy young adults, healthy old adults and Parkinson's disease. Using the non-Markovian parameter, we determine the degree of manifesting the statistical memory effects in dynamics of the walking stride interval for the considered volunteers. The stride dynamics of the first two volunteer groups demonstrates the low memory effects reflected in high values of non-Markovian parameter.The Parkinsonian patients demonstrate the non- Markovian behavior of stride dynamics with strong memory effects. The method can be used to study the signal dynamics of the different nature.

© Published under licence by IOP Publishing Ltd. The purpose of this paper is to present the results of structural analysis of gravitational and topographic parameters of Venus using the data from space missions, including "Magellan". The model gravitational potentials are presented as analytical functions of coordinates. The model is constructed on the basis of variations of Venus' artificial satellites orbits. As a result, fractal correlations of Venus' geoid anomalies and gravitational potential in both longitude and latitude as well as the mean value of fractal dimensions are calculated. The mean fractal dimension of Venus topographic model in latitude is D̄= 1.061, in longitude is D̄= 1.037; the mean fractal dimension of Venus gravitational potential model in latitude is D̄= 0.96, in longitude is D̄ = 1.053.

© Published under licence by IOP Publishing Ltd. In this paper, the possibility of multiparametric analysis application for studying genetic connections between meteor showers and their parental bodies is considered. The modern methods of determining such connections take into account some parameters of parental bodies, such as size, orbital elements, and chemical composition. Obviously, all of these parameters refer to different physical substances. In this regard, simultaneous estimation of the impact of those parameters may be carried out with a given probability using regression analysis. The aim of this work is to develop a method of robust estimation of genetic parameters and use it for asteroid and meteor genetic connections analysis.

© 2018 by IOP Publishing Ltd. The aim of the present paper is to establish optimal parameters for simulation models of the lunar telescope. Modelling of the observations taken from the surface of the Moon is carried out on the basis of dynamic algorithms describing diurnal motion of stars and specifically designed software modules. The first steps in the development of simulation models were made when planning the ILOM (In-Situ Lunar Orientation Measurement) mission which implied the installation of an optical telescope on one of the lunar Poles. The main task of the project was to observe physical libration of the Moon directly from its surface in order to reveal subtle effects related to the characteristics of internal structure of our natural satellite, including the refinement of the Lava elasticity coefficients, tidal dissipation and dissipation at the core-mantle boundary parameters, core's size, ellipticity, and its chemical composition. The results obtained in this work allow for the development of lunar physical libration and dynamics theory in order to apply them in the future lunar observations taken with the automated optical telescope.

© SGEM 2018. The aim of this study is to determine the geocenter dynamics described by dynamic adaptive regression and the general laws of DORIS and GPS navigation systems. A spatial geocenter dynamics can be represented as coordinate and time series. Mathematical description of the time series allows for determination of systematic change in the geocenter dynamics. To improve the accuracy of modeling and forecasting of the geocenter dynamics and to identify the regular effects, the dynamic regression modeling approach is used. On the basis of this, an “Automatized system of the dynamic regression modeling” (ASDRM) and its modifications: ASDRM-G (for geophysical data processing) and ASDRM-T (for analyzing technogenic characteristics) are developed. The results are studied in terms of models’ structure, forecasting accuracy, stability of the polyharmonic structure models, cross-spectral analysis. The modeling of the geocenter coordinates dynamics provides a higher approximation and forecasting accuracy compared to the results by other authors. The common components of these models are revealed. As a result, statistical models of the geocenter dynamics, obtained by in three coordinates x, y, z, were considered. The forecast "horizons" were estimated from these models using a few criteria. The analysis of the obtained models on harmonics stability was carried out, the cross-spectral analysis of time series of geocenter movement coordinates received by two space systems was performed. In order to test the stability, the time series were studied according to two satellite systems. The harmonics with periods of 1, 2, 4, and 6 months and a year were the most stable; they are shown in all three coordinates. The "flickering" structure of time series periodic components is revealed: their spectral density changes over the studied period. The period of the most reliable forecast ("forecast horizon") is determined to be between 10 and 25 weeks for DORIS data and between 6 and 2

© Published under licence by IOP Publishing Ltd. In this paper we use the Memory function formalism to study the collective phenomena in EEG signals from subjects with musical abilities ("musicians") and from subjects with a low level of these abilities ("non-musicians") at solving the three cognitive tasks. We have revealed the spectral features in the EEG collective dynamics of these groups, as well as sensor pairs, which have the a different interaction of signals.

© 2017 COSPAR The analysis of turbulent processes in sunspots and pores which are self-organizing long-lived magnetic structures is a complicated and not yet solved problem. The present work focuses on studying such magneto-hydrodynamic (MHD) formations on the basis of flicker-noise spectroscopy using a new method of multi-parametric analysis. The non-stationarity and cross-correlation effects taking place in solar activity dynamics are considered. The calculated maximum values of non-stationarity factor may become precursors of significant restructuring in solar magnetic activity. The introduced cross-correlation functions enable us to judge synchronization effects between the signals of various solar activity indicators registered simultaneously.

© 2016, International Journal of Pharmacy and Technology. All rights reserved.The purpose of this work is to propose innovative research and technical solutions to create a scientific, educational, observational and promotional world-class center for the study of near and far space. The center will be established on the basis of the Engelhardt astronomical observatory (EAO) infrastructure in Kazan Federal University (KFU) using available resources of the observatory, departments of astronomy, radio physics, radio astronomy, radio electronics. The main center’s elements are described; their selection satisfies three conditions: 1) independence from climate change (for example, lack of a sufficient number of clear nights); 2) high level of technical solutions related to the center’s instrumental baseline; 3) rapid adaptation to new scientific and technological realities. Special attention is paid in the work to the issues of the main specifications of the equipment and educational programs. The following devices are described: Mini-Mega TORTORA optical celestial sphere monitoring system with subsecond temporal resolution; radio telescope with a mirror of 13 m in diameter for very long baseline radio interferometry (VLBI); complex of optical telescopes with a lens diameter of at least 0.6 m, CCD photometer and adaptive optics assembly; Sazhen TM quantum-optical system for laser scanning of satellites; Planetarium’s digital systems and 3DVisualization Center.

© 2016, International Journal of Pharmacy and Technology. All rights reserved.The description of complex system evolution with the unique properties different from the sub-system properties is an important task of modern science. The solution of this problem is complicated not only by the absence of full information about the processes implemented in complex systems, but also by very diverse nature of the interaction between components. In this case, simplification is achieved in those approaches which allow “to abstract” from a studied system organization. Thus, the description of distributed system evolution is performed based on the extraction of information from the signals generated by them. This paper presents the possibilities of statistical analysis methods: the memory function formalism (MFF) and flicker-noise spectroscopy (FNS) during the study of synchronization phenomena. Using the example of a man’s magnetoencephalogram signal analysis (MEG) and radio emission of quasars examined the effects of coordination between the constituent parts of these systems are analyzed. MFF analysis of MEG signals mutual dynamics among healthy subjects led to the conclusion about the processes, compensating the abnormal collective activity of neurons in response to the third-party effects which are not observed in the case of photosensitive epilepsy. The effects of frequency-phase synchronization in the signals of quasar emission at different frequencies discovered within FNS contributed to the establishment of qualitatively distinct mechanisms concerning their disk accretion. The obtained results determine the possible ways of collective phenomena study in complex systems, as well as a key role of coordination effects in their evolution.

© 2016, International Journal of Pharmacy and Technology. All rights reserved.The aim of this work was to develop a method of binding coordinate systems of the two images obtained in different systems of reference data. The proposed method can be used in the analysis of coordinate-time support of objects moving at different speeds in the phase space. The method was tested in conjunction of lunar objects to the inertial coordinate system on the basis of the use of two images: the Moon and the star field. As receivers that allow to obtain such images, CCD-matrix systems were used. Precision of images binding in the system of equatorial coordinates in average equaled to in right ascension (0.”04 ÷ 0.”13), declination – (0.”05 ÷ 0.”11). The paper represents a comparative analysis of the methods for the preparation of the Moon images without others stars and with the stars. The practical results of a system of double images creation, which move at different speeds on the celestial sphere are given. Double image method makes it possible to obtain binding of lunar objects to the stars in an absolute way with high accuracy. These studies are of great practical application in the field of space astrometry and celestial mechanics.

© Published under licence by IOP Publishing Ltd.There were demonstrated capabilities of the Memory Function Formalism (MFF) in analyzing cross correlations in human brain bioelectric activity at obsessive-compulsive disorder (OCD). To extract the information about collective phenomena in (electroencephalogram) EEG brain activity we use the power spectra of memory functions and the memory quantifiers. We discover the pairs of the electrodes with the greatest differences in dynamic and stochastic parameters for patients with the different condition. The high OCD condition is characterized by the influence of the memory effects. The MFF cross correlation analysis allow to describe the collective phenomena in EEG dynamics at OCD including the dynamic, spectral and stochastic behavior.

© 2016, Education and Upbringing Publishing. All rights reserved.In case of building a model of physical surface of celestial body scientists are dealing with a system of parameters whose precision depends on an order of spherical functions series expansion. For significant precision a complicated figure forms and it is almost impossible to describe that with the classical approach. Thereby conducting a comparative analysis of the classical models built on the basis of various observations is quite complicated. The aim of this work is to apply a fractal analysis for topographic and selenographic models investigation. The approach based on fractal similarity of physical structures was used for classical models and models of the librational zone of the Moon, that had been built by expansion in a series of spherical functions in the dynamical coordinate system. As a result, the fractal dimensions of the librational zone of the Moon determined for the mentioned models at various angles have been obtained.

© Medwell Journals, 2016.The research is devoted to the investigation history of the kinetic and dynamic parameters of the Moon. Today, the Moon is the subject of a comprehensive study in many space experiments. In this research, we proposed a historical analysis of unique Heliometric observations of the Moon's physical libration. The article described the history of the beginning of observations and study of the physical libration of the Moon in Engelhardt Astronomical Observatory (EAO) and the main results obtained by these studies. The programs of space missions consist of the subtle effects investigation of the rotational motion and the physical liberation, a study of the gravitational field of the Moon and planets crosslink tracking methods, creating a selenographic coordinate system and the standing the variety of the internal structure of the Moon. Unquestionably, the basis for all these studies are the classic Heliometric observations of lunar physical liberation started over 100 years ago. In 2015, it was the 100th anniversary of Banachiewicz's series of physical libration of the Moon creation. The values of the parameters of the lunar physical libration obtained from Heliometric observations are given. The study also describes Banachiewicz's observations on the meridian circle, participation in observations of a solar eclipse at the 1912 year and gravimetric expeditions.

© 2016, Education and Upbringing Publishing. All rights reserved.The solution of the problem about defining some physical, geometrical, biological, economical etc parameters from measurements involves a lot of data processing. These data arrays are formed by modern technologies and measurement systems during space and ground physical and biological experiments; photogrammetric, geodetic, astrometric, navigation measurements and others. This paper presents the possibility of using antijamming analysis for long time series of selenodetic observations. Development of this method is caused by active exploration of the Moon that involves creation of precession coordinate-time provision to build navigation selenocentric coordinate system and to create digital lunar maps. Using the alternative approaches to solve estimation problem of the parameters – classic least square method and antijamming analysis – we present the results of comparative analysis for dynamical coordinates of 10 craters on lunar surface.

© Published under licence by IOP Publishing Ltd. We discuss here the Flicker-Noise Spectroscopy approach to studying astrophysical systems, for example the radio wave intensity of quasi-stellar object (QSO) 1641+399 and BL Lacertae (BL Lac) 0215+015 in different frequency ranges. The presented method allows to parameterize the study dynamics using a short set of characteristics. The considering sources have a significant differences in manifesting the non-stationary effects, dynamical intermittency and synchronization. The radio wave intensity dynamics of the BL Lac 0215+015 is characterized by well-defined set of natural frequencies, persistent behavior with low effects of non-stationarity and high level of frequency-phase synchronization. For dynamics of the QSO 1641+399 reverse occurs including the asymmetrical structure of cross-correlator. Our findings show that using the flicker-noise spectroscopy approach to studying astrophysical objects allows to carry out the more detail analysis of their behavior and evolution.

Here we demonstrate a capability of method based on the Flicker-Noise Spectroscopy (FNS) in analyzing the manifestation bipolar affective disorder (BAD) in EEG. Generally EEG from BAD patient does not show the visual differences from healthy EEG. Analyzing the behavior of FNS-parameters and the structure of 3D-cross correlators allows to discover the differential characteristics of BAD. The cerebral cortex electric activity of BAD patients have a specific collective dynamics and configuration of the FNS-characteristics in comparison with healthy subjects.

© Published under licence by IOP Publishing Ltd. In this work we apply a new method to determine the differences in characteristics of the cortical electroencephalographic (EEG) activity, measured during interictal stage (i.e., period between seizures), between healthy subjects and patients with epilepsy. To analyze the dynamical and spectral properties of bioelectric activity we use power spectra and phase portraits which are introduced on the basis of the Memory Function Formalism (MFF). We discover the significant differences in the types of power spectra of the EEG for healthy subjects and patients. We reveal the cerebral cortex areas for which the EEG activity of considered groups of subjects has a different structure of the phase portraits. The proposed approach can be used as an additional method for diagnosis of epilepsy during interictal stage.

© Published under licence by IOP Publishing Ltd. In this work, the selenocentric dynamic reference net was developed for the first time in the field of selendesy in order to address problems with space navigation. Three tasks were addressed in this research: a) the analysis of the mathematical model of the orthogonal coordinate transformation accuracy; b) the identification of the basic dynamic reference system objects with ones that are contained in reducing catalogues; and c) the extension of the base points net of the basic dynamic reference system. The result was a dynamic coordinate system summary that contains 1162 objects. The correlation analysis of this net was carried out and was found to coincide with modern dynamic coordinate systems that have been obtained. This selenocentric reference catalogue covers the full visible area of the Moon.

© Published under licence by IOP Publishing Ltd. In paper we apply the method based on the Flicker-Noise Spectroscopy (FNS) to determine the differences in frequency-phase synchronization of the cortical electroencephalographic (EEG) activities in patients with bipolar disorder (BD). We found that for healthy subjects the frequency-phase synchronization of EEGs from long-range electrodes was significantly better for BD patients. In BD patients a high synchronization of EEGs was observed only for short-range electrodes. Thus, the FNS is a simple graphical method for qualitative analysis can be applied to identify the synchronization effects in EEG activity and, probably, may be used for the diagnosis of this syndrome.

© Published under licence by IOP Publishing Ltd. There is a new approach for the estimation of the position accuracy and proper motions of the stars in astrometric catalogues by comparison of the stars' positions in the researched and Hipparcos catalogues in different periods, but under a standard equinox. To verify this method was carried out the analysis of the star positions and proper motions UCAC2, PPM, ACRS, Tycho-2, ACT, TRC, FON and Tycho catalogues. As a result of this study was obtained that the accuracy of positions and proper motions of the stars in Tycho-2 and UCAC2 catalogues are approximately equal. The results of the comparison are represented graphically.

© 2015, Education and Upbringing Publishing. All rights reserved. Here we demonstrate a capability of a method based on the Flicker-Noise Spectroscopy (FNS) in analyzing the epilepsy manifestation in interictal EEG. Generally the seizure free EEG from epileptic patient does not show visual differences from healthy EEG. Analyzing the behavior of FNS-parameters and the structure of 3D-cross correlators allows to discover the differential characteristics of epilepsy. The cerebral cortex electric activity of epilepsy patients have a specific collective dynamics and configuration of FNS-characteristics in comparison with healthy subjects.

The flicker-noise spectroscopy (FNS) approach is used to determine the dynamic characteristics of neuromagnetic responses by analyzing the magnetoencephalographic (MEG) signals recorded as the response of a group of control human subjects and a patient with photosensitive epilepsy (PSE) to equiluminant flickering stimuli of different color combinations. Parameters characterizing the analyzed stochastic biomedical signals for different frequency bands are identified. It is shown that the classification of the parameters of analyzed MEG responses with respect to different frequency bands makes it possible to separate the contribution of the chaotic component from the overall complex dynamics of the signals. It is demonstrated that the chaotic component can be adequately described by the anomalous diffusion approximation in the case of control subjects. On the other hand, the chaotic component for the patient is characterized by a large number of high-frequency resonances. This implies that healthy organisms can suppress the perturbations brought about by the flickering stimuli and reorganize themselves. The organisms affected by photosensitive epilepsy no longer have this ability. This result also gives a way to simulate the separate stages of the brain cortex activity in vivo. The examples illustrating the use of the "FNS device" for identifying even the slightest individual differences in the activity of human brains using their responses to external standard stimuli show a unique possibility to develop the "individual medicine" of the future. © 2009 Pleiades Publishing, Ltd.

In our earlier study dealing with the analysis of neuromagnetic responses (magnetoencephalograms-MEG) to flickering-color stimuli for a group of control human subjects (9 volunteers) and a patient with photosensitive epilepsy (a 12-year old girl), it was shown that Flicker-Noise Spectroscopy (FNS) was able to identify specific differences in the responses of each organism. The high specificity of individual MEG responses manifested itself in the values of FNS parameters for both chaotic and resonant components of the original signal. The present study applies the FNS cross-correlation function to the analysis of correlations between the MEG responses simultaneously measured at spatially separated points of the human cortex processing the red-blue flickering color stimulus. It is shown that the cross-correlations for control (healthy) subjects are characterized by frequency and phase synchronization at different points of the cortex, with the dynamics of neuromagnetic responses being determined by the low-frequency processes that correspond to normal physiological rhythms. But for the patient, the frequency and phase synchronization breaks down, which is associated with the suppression of cortical regulatory functions when the flickering-color stimulus is applied, and higher frequencies start playing the dominating role. This suggests that the disruption of correlations in the MEG responses is the indicator of pathological changes leading to photosensitive epilepsy, which can be used for developing a method of diagnosing the disease based on the analysis with the FNS cross-correlation function. © 2010 Pleiades Publishing, Ltd.

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information measures of memory as well as relaxation parameters revealed high individuality and unique features in the neuromagnetic brain responses of each subject. The current paper demonstrates new capabilities of MFF by studying cross-correlations between MEG signals obtained from multiple and distant brain regions. It is shown that the MEG signals of healthy subjects are characterized by well-defined effects of frequency synchronization and at the same time by the domination of low-frequency processes. On the contrary, the MEG of a patient is characterized by a sharp abnormality of frequency synchronization, and also by prevalence of high-frequency quasi-periodic processes. Modification of synchronization effects and dynamics of cross-correlations offer a promising method of detecting pathological abnormalities in brain responses. © 2010 Elsevier B.V. All rights reserved.

We apply flicker-noise spectroscopy (FNS), a time series analysis method operating on structure functions and power spectrum estimates, to study the clinical electroencephalogram (EEG) signals recorded in children/adolescents (11 to 14 years of age) with diagnosed schizophrenia-spectrum symptoms at the National Center for Psychiatric Health (NCPH) of the Russian Academy of Medical Sciences. The EEG signals for these subjects were compared with the signals for a control sample of chronically depressed children/adolescents. The purpose of the study is to look for diagnostic signs of subjects' susceptibility to schizophrenia in the FNS parameters for specific electrodes and cross-correlations between the signals simultaneously measured at different points on the scalp. Our analysis of EEG signals from scalp-mounted electrodes at locations F3 and F4, which are symmetrically positioned in the left and right frontal areas of cerebral cortex, respectively, demonstrates an essential role of frequencyphase synchronization, a phenomenon representing specific correlations between the characteristic frequencies and phases of excitations in the brain. We introduce quantitative measures of frequencyphase synchronization and systematize the values of FNS parameters for the EEG data. The comparison of our results with the medical diagnoses for 84 subjects performed at NCPH makes it possible to group the EEG signals into 4 categories corresponding to different risk levels of subjects' susceptibility to schizophrenia. We suggest that the introduced quantitative characteristics and classification of cross-correlations may be used for the diagnosis of schizophrenia at the early stages of its development. © 2011 Elsevier B.V. All rights reserved.

Memory function formalism is used to investigate the dynamic and spectral features (including a quantitative comparison of the decay of correlations and statistical memory) of the time discrete X-ray signals from the microquasar XTE J1550-564. The X-ray dynamics has been recorded aboard the Rossi X-Ray Timing Explorer. Temporal and event correlations are analyzed to find distinct patterns in the relaxation processes and memory effects in the equi- and nonequidistant dynamics of the X-ray flux from XTE J1550-564. The described method can be used to study a wide range of astrophysical phenomena and processes associated with event representation. © 2014 Allerton Press, Inc.

On the basis of a memory function formalism for correlation functions of time series we investigate statistical memory effects by the use of appropriate spectral and relaxation parameters of measured stochastic data for neuro-system diseases. In particular, we study the dynamics of the walk of a patient who suffers from Parkinson's disease (PD), Huntington's disease (HD), amyotrophic lateral sclerosis (ALS), and compare against the data of healthy people (CO - control group). We employ an analytical method which is able to characterize the stochastic properties of stride-to-stride variations of gait cycle timing. Our results allow us to estimate quantitatively a few human locomotion function abnormalities occurring in the human brain and in the central nervous system (CNS). Particularly, the patient's gait dynamics are characterized by an increased memory behavior together with sizable fluctuations as compared with the locomotion dynamics of healthy patients. Moreover, we complement our findings with peculiar features as detected in phase-space portraits and spectral characteristics for the different data sets (PD, HD, ALS and healthy people). The evaluation of statistical quantifiers of the memory function is shown to provide a useful toolkit which can be put to work to identify various abnormalities of locomotion dynamics. Moreover, it allows one to diagnose qualitatively and quantitatively serious brain and central nervous system diseases. © 2007 Elsevier Ltd. All rights reserved.

Regular and stochastic behavior in the time series of Parkinsonian pathological tremor velocity is studied on the basis of the statistical theory of discrete non-Markov stochastic processes and flicker-noise spectroscopy. We have developed a new method of analyzing and diagnosing Parkinson's disease (PD) by taking into consideration discreteness, fluctuations, long- and short-range correlations, regular and stochastic behavior, Markov and non-Markov effects and dynamic alternation of relaxation modes in the initial time signals. The spectrum of the statistical non-Markovity parameter reflects Markovity and non-Markovity in the initial time series of tremor. The relaxation and kinetic parameters used in the method allow us to estimate the relaxation scales of diverse scenarios of the time signals produced by the patient in various dynamic states. The local time behavior of the initial time correlation function and the first point of the non-Markovity parameter give detailed information about the variation of pathological tremor in the local regions of the time series. The obtained results can be used to find the most effective method of reducing or suppressing pathological tremor in each individual case of a PD patient. Generally, the method allows one to assess the efficacy of the medical treatment for a group of PD patients. © 2006 Elsevier B.V. All rights reserved.

Study of the cross-correlation between EEGs can be used to detect susceptibility to schizophrenia in children and adolescents (11 to 14 years old). To find diagnostic characters, we use the cross-correlation technique based on the correlation coefficient and the Fourier spectrum of the cross-correlation functions. Our findings make it possible to associate the degree of frequency-phase synchronization in a separate frequency range with risk level of development of schizophrenia. © 2013 Springer Science+Business Media New York.

© 2015 Springer Science+Business Media New York Fractal features of neuromagnetic activity of the cerebral cortex in photosensitive epilepsy (PSE) before and after exposure to light flickering stimulus were studied. It was found that the dynamics of magnetoencephalographic signals of the PSE patient is characterized by higher values of the fractal index than in the control group. The most significant differences are revealed for the parietal, occipital, frontal, left parietal, and left temporal regions of the brain. Switching the stimulus led to a large-scale reaction of various regions of the cortex in the control group, while the patients showed a localized response.

© 2015, Springer Science+Business Media New York. Fractal features of neuromagnetic activity of the cerebral cortex in photosensitive epilepsy (PSE) before and after exposure to light flickering stimulus were studied. It was found that the dynamics of magnetoencephalographic signals of the PSE patient is characterized by higher values of the fractal index than in the control group. The most significant differences are revealed for the parietal, occipital, frontal, left parietal, and left temporal regions of the brain. Switching the stimulus led to a large-scale reaction of various regions of the cortex in the control group, while the patients showed a localized response.

In this work we develop a new method of diagnosing the nervous system diseases and a new approach in studying human gait dynamics with the help of the theory of discrete non-Markov random processes (Phys. Rev. E 62 (5) (2000) 6178, Phys. Rev. E 64 (2001) 066132, Phys. Rev. E 65 (2002) 046107, Physica A 303 (2002) 427). The stratification of the phase clouds and the statistical non-Markov effects in the time series of the dynamics of human gait are considered. We carried out the comparative analysis of the data of four age groups of healthy people: Children (from 3 to 10 year olds), teenagers (from 11 to 14 year olds), young people (from 21 up to 29 year olds), elderly persons (from 71 to 77 year olds) and Parkinson patients. The full data set are analyzed with the help of the phase portraits of the four dynamic variables, the power spectra of the initial time correlation function and the memory functions of junior orders, the three first points in the spectra of the statistical non-Markov parameter. The received results allow to define the predisposition of the probationers to deflections in the central nervous system caused by Parkinson's disease. We have found out distinct differences between the five submitted groups. On this basis we offer a new method of diagnostics and forecasting Parkinson's disease. © 2002 Elsevier Science B.V. All rights reserved.

The study of social networks and especially of stochastic dynamics of diseases spread in human population has recently attracted considerable attention in statistical physics. In this work we present a new statistical method of analyzing the spread of epidemic processes of grippe and acute respiratory track infections (ARTI) by means of the theory of discrete non-Markov stochastic processes. We use the results of our last theory (Phys. Rev. E 65 (2002) 046107) to study statistical memory effects, long-range correlation and discreteness in real data series, describing the epidemic dynamics of human ARTI infections and grippe. We have carried out the comparative analysis of the data of the two infections (grippe and ARTI) in one of the industrial districts of Kazan, one of the largest cities of Russia. The experimental data are analyzed by the power spectra of the initial time correlation function and the memory functions of junior orders, the phase portraits of the four first dynamic variables, the three first points of the statistical non-Markov parameter and the locally averaged kinetic and relaxation parameters. The received results give an opportunity to provide a strict quantitative description of regular and stochastic components in epidemic dynamics of social networks taking into account their time discreteness and effects of statistical memory. They also allow to reveal the degree of randomness and predictability of the real epidemic process in the specific social network. © 2003 Elsevier B.V. All rights reserved.

In this paper, we consider the age-related alterations of heart rate variability on the basis of the study of non-Markovian effects. The age dynamics of relaxation processes is quantitatively described by means of local relaxation parameters, calculated by the specific localization procedure. We offer a quantitative informational measure of non-Markovity to evaluate the change of statistical effects of memory. Local relaxation parameters for young and elderly people differ by 3.3 times, and quantitative measures of non-Markovity differ by 4.2 times. The comparison of quantitative parameters allows to draw conclusions about the reduction of relaxation rate with ageing and the higher degree of the Markovity of heart rate variability of elderly people. © 2005 Elsevier B.V. All rights reserved.

© SGEM2017. All Rights Reserved. The modern major project on creation a unique, scientific, educational, and technological Center of space researches and technologies was launched on the base of Engelhardt Astronomical Observatory (EAO) of Kazan Federal University in 2008. In EAO educational activity in the fields of training and retraining of specialists is conducted; scientific and practical training courses take place on the following educational programs: space geodesy and remote sensing, astronomy, radio astronomy. It should be noted, currently, it is necessary to develop high-tech stations and observatories, provide education in the fields of space geodesy and geophysics, and popularize the space knowledge. Kazan Federal University is one of the leading centers of Russia and the world in astronomy and space geodesy in terms of both training and fundamental and applied investigations. The scientific data which had been obtained by Kazan astronomers was used in the preparation for the missions to the Moon and Mars. In Kazan the leading scientific schools in the fields of stellar atmosphere astrophysics, space geodesy, and geophysics were established. All this allowed creating the scientific center where more than 7500 students take a short educational course on space studies annually and where classes on space knowledge popularization are taught for 25000 visitors. The scientific and educational center on the base of EAO is the first in the world complex combining the operating astronomical observatory and modern planetarium. There is a metrological geophysical testing ground operating in EAO. Such an approach allows creating a professional environment for learning about the Earth and Universe and increasing the interest in both historical and modern space concepts.

© SGEM2017. All Rights Reserved. The article shows that during teaching courses on space geodesy, astronomy, and natural science conceptions at Kazan Federal University (KFU) all the possible modern technologies are used. The natural science conceptions (NSC) course includes a large part on astronomy. This paper describes the modernization of the educational observational base at KFU. The complex of space geodesy and astronomy teaching and the natural science conceptions course at KFU can be contingently divided into four parts: theoretical, practical, interactive, and video-cognitive part. As to the practical part, here all the known educational approaches are applied. The only thing worth mentioning is that we constantly introduce modern material into the composition of teaching course and try to make classes really interesting going beyond the framework of the academic plan telling students tales about famous astronomers and unusual natural phenomena, providing excerpts from popular-science magazines. As the further analysis shows, all this not only contributes to learning the old material and developing the broad horizons, but it also encourage students to become astronomy enthusiasts. After graduation from college a lot of people decide to teach astronomy at schools with ease, and sometimes even choose astronomy as priority. So, the more such enthusiasts exist, the more modern natural science will enter to lives of people. It should be noted that the existing scientific and technological base center of at Engelhardt Astronomical observatory (EAO) plays an important role in training young specialists and includes a complex of advanced telescopes and satellite geodetic metrology polygon. In the near future the further modernization of EAO telescopes is planned. It will allow young researchers to carry out educational and practical observations on a high technological level and acquaint young researchers with the modern observational equipment.

The aim of this paper is to represent the results of a structured fractal analysis of gravitational and topographical parameters of Mars on the basis of data obtained from the space missions. To analyze Martian fractal structures the observations from the data received from boards of the space missions including «Mars Global Surveyor" has been used. The models of relief and Mars gravitational field have been constructed on the basis of harmonic analysis of the expansion in spherical functions of the satellite observations data. As a result, fractal dimensions of Martian reliefs anomalies and Mars gravitational potential by longitude and latitude have been determined. Mean values of the fractal dimensions D have been obtained as well: mean fractal dimensions of Martian topographic model by latitude D = 0.86, by longitude D = 0.88; mean fractal dimensions of Martian gravitational potential anomalies by latitude D = 1.06, by longitude D = 1.092.

© SGEM2017 All Rights Reserved. In the present work for the first time in the world practice 430322 occultations of stars by the Moon are analyzed. The relevance of the work is that the accuracy analysis of stars' proper motion in modern star catalogues can only be conducted using either observations of small planets or occultations, since only those observations are long-term and homogenous in time. When making the occultation database a comparative analysis has been used to study types and accuracy of occultation. For photoelectric observations were increased weights in this analysis, but only marginally, because the considerable contribution to the errors there are from the catalogue positions of the stars and the corrections for the outline of the Moon. The Russian occultations database has been independently analyzed. The photoelectric occultations database has been analyzed as well. In particular, there is a database of observations of occultations including 225121 objects taken from 1943 to 1980 in Greenwich observatory. But that database does not contain observations of occultations taken in Russia. The number of those observations is 7698. We adjusted this lack. We also keep constructing the full database of occultations using the Internet, printed editions, and data provided by the scientists of National Astronomical Observatory of Japan (NAOJ). As a result, the number of occultation observations was increased to 430322. Approximately 94.3% of those observations are taken by the visual method using telescope of comparatively small aperture. Around 11 % of them were taken by professional astronomers, the rest – by amateurs. About 5.7 % of all the observations are taken by photoelectric method, which implies recording an occultation with an accuracy of 0.001 sec. In conclusion it should be noted that the occultations database is going to be used for studying modern space catalogues, such as Hipparcos, UCAC 4, “Gaia” space mission etc.

© SGEM2017 All Rights Reserved. The aim of this article is to study astronomical refraction anomalies. Back in 1925 Grachev and Banahevich found systematic errors in meridian observations depending on zenithal distance. Grachev suggested that these refraction anomalies arise from the inclination of the Earth's surface to the South. The airstratas of the same density were considered as parallel to the Earth’s surface. But the analysis of latitude observations from the Bamberg and ZTL-180 telescopes showed there were significant systematic errors depending on zenithal distance and we suggested that these errors depended on inclination of the airstratas of the same density, which were independent of inclination of the Earth's surface. As a result, the method of calculating the inclinations of airstratas of the same density has been developed on the basis of aerological data. With this purpose isobaric surfaces (the surfaces of the same atmospheric pressure) in many points of the Earth’s surface were taken. Altitudes of each isobaric surface relative to the geoid were analyzed. It was found the impact of inclination of upper air layers of the same density on the refraction does not fully compensate the impact of inclination of lower atmospheric boundary layers. If inclination of the upper air layers starts from small altitude, then the impact of inclination of the lower atmospheric boundary layers on the refraction compensate approximately 50 % of the impact of inclination of the upper atmospheric boundary layers on the refraction. Therefore, it is necessary to introduce amendments to observations of refraction anomalies due to the impact of inclination of air layers of the same density; those amendments are particularly important for making observations by modern high-sensitive telescopes. Thus, if a pair of stars on different sides of the zenith is observed for example at zenithal distance of 70°, then the error in the latitude for anomalous refraction due to inclinat