** Next:** 1. Introduction

** 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.

*Tetsushi "Wahaha" UETA *

平成13年1月24日