Qualitative analysis of a new Lorenz‐type chaotic system and its simulation |
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| Authors: | Fuchen Zhang Kunqiong Li Guangyun Zhang Chunlai Mu |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China;2. Department of Basic Education, Chongqing Industry Polytechnical College, Chongqing, China;3. International Business School, Chongqing Technology and Business University, Chongqing, People's Republic of China;4. College of Mathematics and Statistics, Chongqing University, Chongqing, PR China |
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| 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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| Keywords: | chaotic system Lagrange multiplier method boundedness hidden attractors |
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