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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 438328, 12 pages
Research Article

A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic

1Department of Mathematics and Finance, Yunyang Teachers’ College, Hubei Shiyan 442000, China
2Computer School of Wuhan University, Wuhan 430079, China
3College of Information Science and Technology, Donghua University, Shanghai 201620, China
4NOSTA, The Ministry of Science and Technology of China, GPO Box 2143, Beijing 100045, Tianjin University, Tianjin 300072, China
5School of Management, Tianjin University, Tianjin 300072, China

Received 21 January 2012; Accepted 12 March 2012

Academic Editor: Ahmad M. Harb

Copyright © 2012 Yuhua Xu et al. 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 new four-scroll chaotic attractor is found by feedback controlling method in this paper. The novel chaotic system can generate four scrolls two of which are transient chaotic and the other two of which are ultimate chaotic. Of particular interest is that this novel chaotic system can generate one-scroll, two 2-scroll and four-scroll chaotic attractor with variation of a single parameter. We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and Poincaré map, respectively. The analysis results show clearly that this is a new chaotic system which deserves further detailed investigation.