Chaotic difference equations in Rn-Reference-Cited by-同舟云学术

Chaotic difference equations in Rn

Published:1981-08 Issue:2 Volume:31 Page:217-225
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Kloeden P. E.

Abstract

AbstractSufficient conditons are given for the chaotic behaviour of difference equations defined in terms of continuous mappings in Rn. These conditions are applicable to both difference equations with snap-back repellors and with saddle points. They are applied here to the twisted-horseshoe difference equation of Guckenheimer, Oster and Ipaktchi.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference7 articles.

1. Chaotic behaviour of systems of difference equations

2. Snap-back repellers imply chaos in Rn

3. Differentiable dynamical systems

4. Period Three Implies Chaos

5. Über die Iterationen reeler Funktionen III;Barna;Publ. Math. Debrecen,1975

Cited by 24 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

1. About Chaotic Dynamics in the Twisted Horseshoe Map;International Journal of Bifurcation and Chaos;2016-06-15

2. Stability of symbolic embeddings for difference equations and their multidimensional perturbations;Journal of Differential Equations;2015-02

3. Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings;Journal of Difference Equations and Applications;2008-10

4. On Fuzzy Logic and Chaos Theory;Fuzzy Logic;2007

5. Li–Yorke chaos in higher dimensions: a review;Journal of Difference Equations and Applications;2006-03