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Your search keyword '"Aleksei Dmitrichev"' showing total 4 results
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4 results on '"Aleksei Dmitrichev"'

1. Cloning of Chimera States in a Large Short-term Coupled Multiplex Network of Relaxation Oscillators

Author

Aleksei Dmitrichev, Dmitry Shchapin, and Vladimir Nekorkin

Subjects
chimera states, chimera states cloning, dynamical mechanism, bifurcations, relaxation dynamics, multiplex networks, Applied mathematics. Quantitative methods, T57-57.97, Probabilities. Mathematical statistics, QA273-280
Abstract

A new phenomenon of the chimera states cloning in a large two-layer multiplex network with short-term couplings has been discovered and studied. For certain values of strength and time of multiplex interaction, in the initially disordered layer, a state of chimera is formed with the same characteristics (the same average frequency and amplitude distributions in coherent and incoherent parts, as well as an identical phase distribution in coherent part), as in the chimera which was set in the other layer. The mechanism of the chimera states cloning is examined. It is shown that the cloning is not related with synchronization, but arises from the competition of oscillations in pairs of oscillators from different layers.

Published
2019
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2. Dynamics and stability of two power grids with hub cluster topologies

Author

Vladislav Khramenkov, Aleksei Dmitrichev, and Vladimir I. Nekorkin

Subjects
Fluid Flow and Transfer Processes, Control and Optimization, Physics and Astronomy (miscellaneous), Computer science, Dynamics (mechanics), Network topology, Topology, Stability (probability), Power (physics), Artificial Intelligence, Signal Processing, Cluster (physics), Computer Vision and Pattern Recognition, Computer Science::Distributed, Parallel, and Cluster Computing
Abstract

We report the results of study of two models of power grids with hub cluster topology based on the second-order Kuramoto system. The first model considered is the small grid consisting of a consumer and two generators. The second model is the Nizhny Novgorod power grid. The areas in the parameter spaces of the grids that corresponds to different modes, including working synchronous one, of their operation are obtained. The dynamic stability of synchronous mode in the Nizhny Novgorod power grid model to transient disturbances of the power at its elements is tested. We show that the stability of peripheral elements of the grid to disturbances depends significantly on the lengths of their connections to the rest of the grid

Published
2019
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3. The mean complexities in the regimes of dynamical networks with full oscillations binding

Author

Vladimir I. Nekorkin, Aleksei Dmitrichev, Valentin Afraimovich, and Dmitry Shchapin

Subjects
Degree (graph theory), 0103 physical sciences, General Physics and Astronomy, Order (group theory), General Materials Science, Statistical physics, Physical and Theoretical Chemistry, 010306 general physics, 01 natural sciences, Topology (chemistry), 010305 fluids & plasmas, Mathematics
Abstract

We continue to apply the notion of mean complexities to study dynamical networks. We show that the mean complexities can help to single out the nodes with similar features (and dynamical behavior) and to reveal some properties of the topology of the networks. We found that the nodes with the same degree (number of connections) have equal values of the mean complexities in the regime of full binding. At the same time, the mean complexities of nodes with different degree follow a descending order with respect to the degree.

Published
2018
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4. Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons

Author

Stéphane Binczak, Aleksei Dmitrichev, Jean-Marie Bilbault, Vladimir I. Nekorkin, Rachid Behdad, Institute of Applied Physics of RAS, Russian Academy of Sciences [Moscow] ( RAS ), Laboratoire Electronique, Informatique et Image ( Le2i ), Université de Bourgogne ( UB ) -Centre National de la Recherche Scientifique ( CNRS ) -AgroSup Dijon - Institut National Supérieur des Sciences Agronomiques, de l'Alimentation et de l'Environnement, Russian Academy of Sciences [Moscow] (RAS), Laboratoire Electronique, Informatique et Image [UMR6306] (Le2i), Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Arts et Métiers (ENSAM), Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Arts et Métiers Sciences et Technologies, and HESAM Université (HESAM)-HESAM Université (HESAM)-AgroSup Dijon - Institut National Supérieur des Sciences Agronomiques, de l'Alimentation et de l'Environnement

Subjects
Physics, Collective behavior, Dynamics (mechanics), Phase (waves), General Physics and Astronomy, Special class, Ring (chemistry), 01 natural sciences, 010305 fluids & plasmas, [SPI.TRON]Engineering Sciences [physics]/Electronics, [ SPI.TRON ] Engineering Sciences [physics]/Electronics, 010101 applied mathematics, Nonlinear system, Classical mechanics, 0103 physical sciences, General Materials Science, Statistical physics, 0101 mathematics, Physical and Theoretical Chemistry, Dimensionless quantity
Abstract

International audience; Space-time dynamics of the network system modeling collective behavior of electrically coupled nonlinear cells is investigated. The dynamics of a local cell is described by the dimensionless Morris-Lecar system. It is shown that such a system yields a special class of traveling localized collective activity so called "anti-phase wave patterns". The mechanisms of formation of the patterns are discussed and the region of their existence is obtained by using the weakly coupled oscillators theory.

Published
2013
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