一类简单二次非线性Sprott混沌系统的分析与控制

Journal of Jilin University Science Edition

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Analysis and Control of a Class of Sprott Chaotic Systemwith Simple Quadratic Nonlinearities

FU Jingchao, SUN Jing, LI Pengsong

College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China

Received:2014-09-03 Online:2015-05-26 Published:2015-05-21
Contact: FU Jingchao E-mail:neufujingchao@163.com

Abstract

Abstract:

The control problems of a class of nonlinear Sprott simple chaotic systems were solved via an adaptive backstepping method. Firstly, the conditions of stability of the equilibria point and the existence of Hopf bifurcation were obtained. Secondly, chaotic phenomenon of the system was verified by means of presenting Lyapunov exponent and chaotic attractor, and complex dynamic behaviors were found via analyzing bifurcation diagram. Finally, an adaptive backstepping controller was designed to control chaotic system to a given equilibrium point. Numerical simulation has shown the effectiveness of the controller designed.

Key words: Sprott chaotic system, Lyapunov exponent, bifurcation, adaptive backstepping 

CLC Number:

O231.2

FU Jingchao, SUN Jing, LI Pengsong. Analysis and Control of a Class of Sprott Chaotic Systemwith Simple Quadratic Nonlinearities[J].Journal of Jilin University Science Edition, 2015, 53(03): 395-400.

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Analysis and Control of a Class of Sprott Chaotic Systemwith Simple Quadratic Nonlinearities

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