Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 840346, 9 pages
Research Article

Chaotic Attractor Generation via a Simple Linear Time-Varying System

1Department of Engine, Army Aviation Institute, Beijing 101123, China
2State Key Laboratory for Turbulence and Complex System and College of Engineering, Peking University, Beijing 100871, China

Received 18 March 2010; Revised 29 June 2010; Accepted 17 September 2010

Academic Editor: Recai Kilic

Copyright © 2010 Baiyu Ou and Desheng Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A novel generation method of chaotic attractor is introduced in this paper. The underlying mechanism involves a simple three-dimensional time-varying system with simple time functions as control inputs. Moreover, it is demonstrated by simulation that various attractor patterns are generated conveniently by adjusting suitable system parameters. The largest Lyapunov exponent of the system has been obtained.