ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM-Reference-Cited by-同舟云学术

ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM

Published:2006-10 Issue:10 Volume:16 Page:3035-3041
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LI TIECHENG¹,CHEN GUOTING²,CHEN GUANRONG³

Affiliation:

1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China

2. UFR de Mathématiques, Laboratoire Paul Painlevé, UMR 8524, Université de Lille 1, 59655 Villeneuve d'Ascq, France

3. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China

Abstract

We study the problem of existence of homoclinic and heteroclinic orbits of Chen's system. For the case of 2c > a > c > 0 and b ≥ 2a, we prove that the system has no homoclinic orbit but has two and only two heteroclinic orbits.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740601663X

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