Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2001; 38(3): 613-621

Printed May 1, 2001

Copyright © The Korean Mathematical Society.

Chaotic behviour of chain components in bishadowing systems

Taeyoung Choi and Keonhee Lee

Chungnam National University

Abstract

Go to

In this paper we show that if a dynamical system $\varphi$ has bishadowing and cyclically bishadowing properties on the chain recurrent set $CR(\varphi)$ then all nearby continuous perturbations of $\varphi$ behave chaotically on a neighborhood of each chain component of $\varphi$ whenever it has a fixed point. This is a generalization of the results obtained by Diamond et al.([3]).

Keywords: chaotic, bishadowing, cyclically bishadowing, homoclinic, chain components

MSC numbers: Primary 58F; Secondary 54H

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS