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23 results on '"Agapov, Sergey"'

1. Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels

Author

Agapov, Sergey and Valyuzhenich, Alexandr

Subjects
Mathematics - Dynamical Systems, Mathematics - Combinatorics
Abstract

In this paper the geodesic flow on a 2-torus in a non-zero magnetic field is considered. Suppose that this flow admits an additional first integral $F$ on $N+2$ different energy levels which is polynomial in momenta of arbitrary degree $N$ with analytic periodic coefficients. It is proved that in this case the magnetic field and metrics are functions of one variable and there exists a linear in momenta first integral on all energy levels.

Published
2018

2. Integrable magnetic geodesic flows on 2-torus: new example via quasi-linear system of PDEs

Author

Agapov, Sergey V., Michael, Bialy, and Mironov, Andrey E.

Subjects
Mathematics - Dynamical Systems, Mathematics - Analysis of PDEs, Nonlinear Sciences - Exactly Solvable and Integrable Systems
Abstract

The only one example has been known of magnetic geodesic flow on the 2-torus which has a polynomial in momenta integral independent of the Hamiltonian. In this example the integral is linear in momenta and corresponds to a one parametric group preserving the Lagrangian function of the magnetic flow. In this paper the problem of integrability on one energy level is considered. This problem can be reduced to a remarkable Semi-hamiltonian system of quasi-linear PDEs and to the question of existence of smooth periodic solutions for this system. Our main result states that the pair of Liouville metric with zero magnetic field on the 2-torus can be analytically deformed to a Riemannian metric with small magnetic field so that the magnetic geodesic flow on an energy level is integrable by means of a quadratic in momenta integral. Thus our construction gives a new example of smooth periodic solution to the Semi-hamiltonian (Rich) quasi-linear system of PDEs.

Published
2016
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3. Postglacial genomes from foragers across Northern Eurasia reveal prehistoric mobility associated with the spread of the Uralic and Yeniseian languages

Author

Zeng, Tian Chen, primary, Vyazov, Leonid A., additional, Kim, Alexander, additional, Flegontov, Pavel, additional, Sirak, Kendra, additional, Maier, Robert, additional, Lazaridis, Iosif, additional, Akbari, Ali, additional, Frachetti, Michael, additional, Tishkin, Alexey A., additional, Ryabogina, Natalia E., additional, Agapov, Sergey A., additional, Agapov, Danila S., additional, Alekseev, Anatoliy N., additional, Boeskorov, Gennady G., additional, Derevianko, Anatoly P., additional, Dyakonov, Viktor M., additional, Enshin, Dmitry N., additional, Fribus, Alexey V., additional, Frolov, Yaroslav V., additional, Grushin, Sergey P., additional, Khokhlov, Alexander A., additional, Kiryushin, Kirill Yu, additional, Kiryushin, Yurii F., additional, Kitov, Egor P., additional, Kosintsev, Pavel, additional, Kovtun, Igor V., additional, Makarov, Nikolai P., additional, Morozov, Viktor V., additional, Nikolaev, Egor N., additional, Rykun, Marina P., additional, Savenkova, Tatyana M., additional, Shchelchkova, Marina V., additional, Shirokov, Vladimir, additional, Skochina, Svetlana N., additional, Sherstobitova, Olga S., additional, Slepchenko, Sergey M., additional, Solodovnikov, Konstantin N., additional, Solovyova, Elena N., additional, Stepanov, Aleksandr D., additional, Timoshchenko, Aleksei A., additional, Vdovin, Aleksandr S., additional, Vybornov, Anton V., additional, Balanovska, Elena V., additional, Dryomov, Stanislav, additional, Hellenthal, Garrett, additional, Kidd, Kenneth, additional, Krause, Johannes, additional, Starikovskaya, Elena, additional, Sukenik, Rem, additional, Tatarinova, Tatiana, additional, Thomas, Mark G., additional, Zhabagin, Maxat, additional, Callan, Kim, additional, Cheronet, Olivia, additional, Fernandes, Daniel, additional, Keating, Denise, additional, Francesca, Candilio, additional, Iliev, Lora, additional, Kearns, Aisling, additional, Özdoğan, Kadir Toykan, additional, Mah, Matthew, additional, Micco, Adam, additional, Michel, Megan, additional, Olalde, Iñigo, additional, Zalzala, Fatma, additional, Mallick, Swapan, additional, Rohland, Nadin, additional, Pinhasi, Ron, additional, Narasimhan, Vagheesh, additional, and Reich, David, additional

Published
2023
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4. The Genesis of Innovation and Investment Policy in Terms of Technological Transformation of Agricultural Organizations

Author

Shokhnekh Anna V., Agapov Sergey Y., Melnikova Yuliya.V., Mironova Irina B., and Matvienko Karina V.

Subjects
Environmental sciences, GE1-350
Abstract

The relevance of the study of the genesis of theoretical and methodological foundations of the formation of innovative investment agricultural organizations’ policies appears under the pressure of technological transformation in the sustainable development of the economy. The beginning of the 21st century is marked by frequent cycles of both development and stagnation of economic trends. Disclosure of the transformation ontology involves identification of changes in all the functional processes of the studied object, including the relationship of the subject (active or passive activity) to objects and instruments of influence. Markers and indicators measuring the level of quality and the return efficiency of transformed objects are also subjects to changes.

Published
2020
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5. Review of Analytical Instruments for EEG Analysis

Author

Sergeeva, Maria, primary, Moiseeva, Ksenia, additional, Kuznetsov, Andrey, additional, Shabakaeva, Dilyara, additional, Smirnova, Daria, additional, Khivintseva, Elena, additional, Agapov, Sergey, additional, Bulanov, Vladimir, additional, and Zakharov, Alexander, additional

Published
2022
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22. Aircraft

Author

EFANOV ALEXANDER GENADIEVICH, DEMCHENKO OLEG FEDOROVICH, MATVEEV ANDREY IVANOVICH, POPOVICH KONSTANTIN FEDOROVICH, PJATERNEV SERGEY VLADIMIROVICH, SCHKOLIN VLADIMIR PETROVICH, NARISCHKIN VITALIY JURYEVICH, AGAPOV SERGEY STEPANOVICH, KODOLA VALERIY GRIGORIEVICH, and YAKOVLEV DESIGN BUREAU AS

23. The Genetic Origin of the Indo-Europeans.

Author

Lazaridis I, Patterson N, Anthony D, Vyazov L, Fournier R, Ringbauer H, Olalde I, Khokhlov AA, Kitov EP, Shishlina NI, Ailincăi SC, Agapov DS, Agapov SA, Batieva E, Bauyrzhan B, Bereczki Z, Buzhilova A, Changmai P, Chizhevsky AA, Ciobanu I, Constantinescu M, Csányi M, Dani J, Dashkovskiy PK, Évinger S, Faifert A, Flegontov PN, Frînculeasa A, Frînculeasa MN, Hajdu T, Higham T, Jarosz P, Jelínek P, Khartanovich VI, Kirginekov EN, Kiss V, Kitova A, Kiyashko AV, Koledin J, Korolev A, Kosintsev P, Kulcsár G, Kuznetsov P, Magomedov R, Malikovich MA, Melis E, Moiseyev V, Molnár E, Monge J, Negrea O, Nikolaeva NA, Novak M, Ochir-Goryaeva M, Pálfi G, Popovici S, Rykun MP, Savenkova TM, Semibratov VP, Seregin NN, Šefčáková A, Serikovna MR, Shingiray I, Shirokov VN, Simalcsik A, Sirak K, Solodovnikov KN, Tárnoki J, Tishkin AA, Trifonov V, Vasilyev S, Akbari A, Brielle ES, Callan K, Candilio F, Cheronet O, Curtis E, Flegontova O, Iliev L, Kearns A, Keating D, Lawson AM, Mah M, Micco A, Michel M, Oppenheimer J, Qiu L, Noah Workman J, Zalzala F, Szécsényi-Nagy A, Palamara PF, Mallick S, Rohland N, Pinhasi R, and Reich D

Abstract

The Yamnaya archaeological complex appeared around 3300BCE across the steppes north of the Black and Caspian Seas, and by 3000BCE reached its maximal extent from Hungary in the west to Kazakhstan in the east. To localize the ancestral and geographical origins of the Yamnaya among the diverse Eneolithic people that preceded them, we studied ancient DNA data from 428 individuals of which 299 are reported for the first time, demonstrating three previously unknown Eneolithic genetic clines. First, a "Caucasus-Lower Volga" (CLV) Cline suffused with Caucasus hunter-gatherer (CHG) ancestry extended between a Caucasus Neolithic southern end in Neolithic Armenia, and a steppe northern end in Berezhnovka in the Lower Volga. Bidirectional gene flow across the CLV cline created admixed intermediate populations in both the north Caucasus, such as the Maikop people, and on the steppe, such as those at the site of Remontnoye north of the Manych depression. CLV people also helped form two major riverine clines by admixing with distinct groups of European hunter-gatherers. A "Volga Cline" was formed as Lower Volga people mixed with upriver populations that had more Eastern hunter-gatherer (EHG) ancestry, creating genetically hyper-variable populations as at Khvalynsk in the Middle Volga. A "Dnipro Cline" was formed as CLV people bearing both Caucasus Neolithic and Lower Volga ancestry moved west and acquired Ukraine Neolithic hunter-gatherer (UNHG) ancestry to establish the population of the Serednii Stih culture from which the direct ancestors of the Yamnaya themselves were formed around 4000BCE. This population grew rapidly after 3750-3350BCE, precipitating the expansion of people of the Yamnaya culture who totally displaced previous groups on the Volga and further east, while admixing with more sedentary groups in the west. CLV cline people with Lower Volga ancestry contributed four fifths of the ancestry of the Yamnaya, but also, entering Anatolia from the east, contributed at least a tenth of the ancestry of Bronze Age Central Anatolians, where the Hittite language, related to the Indo-European languages spread by the Yamnaya, was spoken. We thus propose that the final unity of the speakers of the "Proto-Indo-Anatolian" ancestral language of both Anatolian and Indo-European languages can be traced to CLV cline people sometime between 4400-4000 BCE., Competing Interests: Conflict of Interest Statement The authors declare no competing interests.

Published
2024
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