LOCAL BIFURCATIONS OF THE CHEN SYSTEM-Reference-Cited by-同舟云学术

LOCAL BIFURCATIONS OF THE CHEN SYSTEM

Published:2002-10 Issue:10 Volume:12 Page:2257-2270
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LÜ JINHU¹,ZHOU TIANSHOU²,CHEN GUANRONG³,ZHANG SUOCHUN⁴

Affiliation:

1. Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

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

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

4. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

Abstract

This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system. Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains specified. The analytic results are also verified by numerical simulation studies.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127402005819

Reference23 articles.

1. Synchronization of Rossler and Chen chaotic dynamical systems using active control

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