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Regular and Chaotic Dynamics, 2007, Volume 12, Issue 5, Pages 476–489
DOI: https://doi.org/10.1134/S1560354707050024 (Mi rcd633) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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
Full-text PDF Citations (8)
DOI: https://doi.org/10.1134/S1560354707050024
Abstract: 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.
Keywords: Lyapunov exponents, hyperbolicity, genericity, ergodicity.
Received: 02.02.2007
Accepted: 20.08.2007
Bibliographic databases:
Document Type: Personalia
MSC: 58F09
Language: English
Citation: Ya. Pesin, “Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents”, Regul. Chaotic Dyn., 12:5 (2007), 476–489
Citation in format AMSBIB
\Bibitem{Pes07}
\by Ya. Pesin
\paper Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 5
\pages 476--489
\mathnet{http://mi.mathnet.ru/rcd633}
\crossref{https://doi.org/10.1134/S1560354707050024}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2350334}
\zmath{https://zbmath.org/?q=an:1229.37021}
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    • This publication is cited in the following 8 articles:
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