Bifurcation Analysis of Chen's Equation

Tetsushi Ueta    and     Guanrong Chen

Department of Information Science and Intelligent Systems
Tokushima University, Tokushima, 770-8506 Japan
tetsushi@is.tokushima-u.ac.jp
Department of Electrical and Computer Engineering
University of Houston, Houston, Texas, 77204 USA
gchen@uh.edu

Abstract:

Anti-control of chaos by means of making a non-chaotic system chaotic has led to the discovery of some new chaotic systems, particularly the continuous-time three-dimensional autonomous Chen's equation with only two quadratic terms. This paper further investigates some basic dynamical properties and various bifurcations of Chen's equation, thereby revealing its different features from some other chaotic models such as the Lorenz system.