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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
On the 60th birthday of professor V.V. Kozlov
Periodic magnetic geodesics on almost every energy level via variational methods
I. A. Taimanov S.L. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk 630090, Russia
Аннотация:
For strong exact magnetic fields the action functional (i.e., the length plus the linear magnetic term) is not bounded from below on the space of closed contractible curves and the lower estimates for critical levels are derived by using the principle of throwing out cycles. It is proved that for almost every energy level the principle of throwing out cycles gives periodic magnetic geodesics on the critical levels defined by the "thrown out" cycles.
Ключевые слова:
magnetic geodesics, closed extremals, calculus of variations in the large.
Поступила в редакцию: 14.01.2010 Принята в печать: 25.01.2010
Образец цитирования:
I. A. Taimanov, “Periodic magnetic geodesics on almost every energy level via variational methods”, Regul. Chaotic Dyn., 15:4-5 (2010), 598–605
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd518 https://www.mathnet.ru/rus/rcd/v15/i4/p598
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