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Эта публикация цитируется в 16 научных статьях (всего в 16 статьях)
On the 150th anniversary of A.M.Lyapunov
Symbolic dynamics in the planar three-body problem
R. Moeckel School of Mathematics, University of Minnesota,
Minneapolis, MN 55455, USA
Аннотация:
A chaotic invariant set is constructed for the planar three-body problem. The orbits in the invariant set exhibit many close approaches to triple collision and also excursions near infinity. The existence proof is based on finding appropriate "windows" in the phase space which are stretched across one another by flow-defined Poincaré maps.
Ключевые слова:
Celestial Mechanics, three-body problem.
Поступила в редакцию: 07.06.2007 Принята в печать: 20.08.2007
Образец цитирования:
R. Moeckel, “Symbolic dynamics in the planar three-body problem”, Regul. Chaotic Dyn., 12:5 (2007), 449–475
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd632 https://www.mathnet.ru/rus/rcd/v12/i5/p449
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