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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
On the 150th anniversary of A.M.Lyapunov
Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents
Ya. Pesin Department of Mathematics,
Pennsylvania State University, University Park, 16802, USA
Аннотация:
This is a survey-type article whose goal is to review some recent results on existence of hyperbolic dynamical systems with discrete time on compact smooth manifolds and on coexistence of hyperbolic and non-hyperbolic behavior. It also discusses two approaches to the study of genericity of systems with nonzero Lyapunov exponents.
Ключевые слова:
Lyapunov exponents, hyperbolicity, genericity, ergodicity.
Поступила в редакцию: 02.02.2007 Принята в печать: 20.08.2007
Образец цитирования:
Ya. Pesin, “Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents”, Regul. Chaotic Dyn., 12:5 (2007), 476–489
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd633 https://www.mathnet.ru/rus/rcd/v12/i5/p476
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