New developments in the ergodic theory of nonlinear dynamical systems

Author:

Abstract

The purpose of this paper is to give a survey of recent results on non-uniformly hyperbolic dynamical systems. The emphasis is on the existence of strange attractors and Sinai-Ruelle-Bowen measures for Henon maps, but we also describe results about statistical properties of such dynamical systems and state some of the open questions in this area.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference27 articles.

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4. Sinai-Bowen-Ruelle measures for certain H�non maps

5. Carleson L. 1991 The dynamics of non-uniformly hyperbolic systems in two variables. In Proc. Int. Congress of Mathematicians (Kyoto 1990) vol. 2 pp. 1241-1247. Springer-Verlag Tokyo Berlin and New York: The Mathematical Society of Japan.

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