Volume 40, Issue 1 pp. 31-39
Research Article

Qualitative analysis of a new Lorenz-type chaotic system and its simulation

Fuchen Zhang

Corresponding Author

Fuchen Zhang

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067 China

Correspondence to: Fuchen Zhang, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.

E-mail: [email protected]

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Kunqiong Li

Kunqiong Li

Department of Basic Education, Chongqing Industry Polytechnical College, Chongqing, 401120 China

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Guangyun Zhang

Guangyun Zhang

International Business School, Chongqing Technology and Business University, Chongqing, 400067 People's Republic of China

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Chunlai Mu

Chunlai Mu

College of Mathematics and Statistics, Chongqing University, Chongqing, 401331 PR China

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First published: 10 May 2016

Abstract

In this paper, the ultimate bound for a new chaotic system is derived based on stability theory of dynamical systems. The meaningful contribution of this article is that the results presented in this paper contain the existing results as special cases. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results. Copyright © 2016 John Wiley & Sons, Ltd.

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