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.
Subject
Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science
Reference27 articles.
1. On Iterations of 1 - ax 2 on (- 1,1)
2. The Dynamics of the Henon Map
3. Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps;Benedicks M.;Ergod. Th. Dynam. Sys.,1991
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.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献