Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Anatoly Timofeevich Fomenko"'
Publikováno v:
Известия Российской академии наук. Серия математическая. 86:116-156
Введен новый класс интегрируемых биллиардов, названный эволюционными силовыми биллиардами. Они зависят от параметра и меняют свою топо
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1bbab7db67da5c7f2eca67c8d047fbd
https://doi.org/10.4213/im9149
https://doi.org/10.4213/im9149
Publikováno v:
Russian Journal of Mathematical Physics. 28:317-332
The paper presents a class of billiards with varying geometry, the so-called force or evolutionary billiards, which enable us to realize, in the sense of Liouville equivalence, the well-known cases of Zhukovsky and Kovalevskaya for certain energy zon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a7d99b91f4828bdc067ad042af3e20c
https://doi.org/10.1134/s1061920821030055
https://doi.org/10.1134/s1061920821030055
Publikováno v:
Russian Journal of Mathematical Physics. 28:37-55
In the paper, a new class of integrable billiards, namely, billiards with slipping, is studied. At the reflection from the boundary, a billiard particle of such a system may not only change its velocity, but also move some distance along the border.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c06913dd5c9fe301c2ee21f1ae386478
https://doi.org/10.1134/s1061920821010052
https://doi.org/10.1134/s1061920821010052
Publikováno v:
Izvestiya: Mathematics. 83:1137-1173
The authors have recently introduced the class of topological billiards. Topological billiards are glued from elementary planar billiard sheets (bounded by arcs of confocal quadrics) along intervals of their boundaries. It turns out that the integrab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ca9492e3af9a55fee74fb641486a318
https://doi.org/10.1070/im8863
https://doi.org/10.1070/im8863
Publikováno v:
Doklady Mathematics. 100:463-466
We introduce the following classes of integrable billiards: elementary billiards, topological billiards, billiard books, billiards with a potential, with a magnetic field, and geodesic billiards. These classes are used to test Fomenko’s conjecture
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07df6a32b4fe39616fe6822665f81e8a
https://doi.org/10.1134/s106456241905020x
https://doi.org/10.1134/s106456241905020x
Publikováno v:
Доклады Академии наук. 486:151-155
In the theory of integrable Hamiltonian systems with two degrees of freedom there are widely known integrable systems whose integrals have a high degree, namely 3 and 4: the Kovalevskaya system and its generalizations - the Kovalevskaya - Yahya syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9596ac7e695ab48c049956b52071885f
https://doi.org/10.31857/s0869-56524862151-155
https://doi.org/10.31857/s0869-56524862151-155
Publikováno v:
Известия Российской академии наук. Серия математическая. 83:63-103
Недавно авторами был введен класс топологических биллиардов. Топологические биллиарды получаются склейками элементарных плоских билл
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db435dfa2ae3b6a4f9e9d5be494ee764
https://doi.org/10.4213/im8863
https://doi.org/10.4213/im8863
Autor:
Yu. G. Reshetnyak, Evgeny Fominykh, A. Yu. Vesnin, Victor A. Vassiliev, A. V. Chernavsky, Iskander A. Taimanov, A. B. Sossinsky, Viktor M Buchstaber, Vladimir Turaev, Ivan Dynnikov, Anatoly Timofeevich Fomenko
Publikováno v:
Russian Mathematical Surveys. 73:737-746
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a29777649aa933350d0c5b02285b88c
https://doi.org/10.1070/rm9827
https://doi.org/10.1070/rm9827
Publikováno v:
Известия Российской академии наук. Серия математическая. 81:20-67
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea1c43afa9df58e18a359b8ba514de17
https://doi.org/10.4213/im8602
https://doi.org/10.4213/im8602
Autor:
Yuri Valentinovich Nesterenko, Aleksei Vyacheslavovich Pokrovskiy, P. V. Paramonov, Armen Glebovich Sergeev, Anatoly Timofeevich Fomenko, Petr Anatol'evich Borodin, Boris Sergeevich Kashin, Alexander Ivanovich Aptekarev
Publikováno v:
Uspekhi Matematicheskikh Nauk. 69:192-196
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4186a1cdb0f9fdb1c3b832a3de49d95b
https://doi.org/10.4213/rm9625
https://doi.org/10.4213/rm9625