Dynamical analysis and numerical simulation of bloch chaotic system |
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| Authors: | Fuchen Zhang Xiaofeng Liao Guangyun Zhang Chunlai Mu Da Lin |
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| Affiliation: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, People's Republic of China;2. College of Electronic and Information Engineering, Southwest University, Chongqing, People's Republic of 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, People's Republic of China;5. School of Automatic and Electronic Information Sichuan University of Science and Engineering, Zigong, People's Republic of China |
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| Abstract: | In this article, some dynamics of Bloch chaotic system have been studied. Based on Lagrange multiplier method, optimization theory, and the generalized positively definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive the ultimate bound and a family of mathematical expressions of globally exponentially attractive sets for this system with respect to the parameters of system. The results obtained in this article provides theory basis for chaotic synchronization, chaotic control, Hausdorff dimension, and Lyapunov dimension of chaotic attractors of Bloch chaotic system. © 2016 Wiley Periodicals, Inc. Complexity 21: 201–206, 2016 |
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| Keywords: | Bloch chaotic system chaotic attractor Lyapunov stability Lagrange multiplier method optimization theory |
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