Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 414169, 9 pages
doi:10.1155/2010/414169
Research Article

Generate 𝑛 -Scroll Attractor via Composite Switching Controls

Baiyu Ou1 and Desheng Liu2

1Department of Engineering, 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 24 September 2010; Accepted 27 December 2010

Academic Editor: Christos H. Skiadas

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.

Abstract

We propose a method for designing chaos generators. We introduce a switched system with three-dimensional space functions for generating a new type of chaotic attractor, and then we introduce saturated function series for generating 𝑛 -scroll chaotic attractor. Moreover, we present some examples with numerical simulations that illustrate the efficiency of our method. The statistic behavior is also discussed, which reveals the regularities in the complex dynamics.