Volume 8 Number 1 (Jan. 2013)
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JSW 2013 Vol.8(1): 126-133 ISSN: 1796-217X
doi: 10.4304/jsw.8.1.126-133

A New Fractional Order Chaotic System and Its Compound Structure

Xinjie Li1, Wenxian Xiao2, Zhen Liu2, Wenlong Wan2, Tiesong Hu3
1Institute of Systems Engineering, College of Water Resources and Hydroelectric Engineering, Wuhan University, Wuhan, China
2Henan Institute of science and technology, Xinxiang, China
3College of Water Resources and Hydroelectric Engineering, Wuhan University, Wuhan, China

Abstract—Chaos may be degenerated because of the finite precision effect, hence, in this work, for given a new fractional order three-dimensional chaotic attractors, numerical investigations on the dynamics of this system have been carried out. The stability of equilibrium for the system is analyzed according to the qualitative theory. Furthermore, a new chaotic control technique is designed, the special compound structure of the new fractional order chaotic attractor is investigated, and some numerical simulations are proposed. The results show that the new fractional order chaotic system can generate complex compound structure under the control of the constant control parameter. This evolving procedure reveals the forming mechanisms of compound nature and finds some law which is very meaningful in investigating some complex chaotic dynamical phenomena.

Index Terms—Fractional order, chaotic system, compound structure.

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Cite: Xinjie Li, Wenxian Xiao, Zhen Liu, Wenlong Wan, Tiesong Hu, "A New Fractional Order Chaotic System and Its Compound Structure," Journal of Software vol. 8, no. 1, pp. 126-133, 2013.

General Information

ISSN: 1796-217X (Online)
Frequency: Monthly
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
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