Qualitative behavior of the Lorenz‐like chaotic system describing the flow between two concentric rotating spheres |
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| Authors: | Fuchen Zhang Xiaofeng Liao Guangyun Zhang |
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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 |
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| Abstract: | In this article, the bounds of the Lorenz‐like chaotic system describing the flow between two concentric rotating spheres have been studied. Based on Lagrange multiplier method, the function extremum theory and the generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive the ultimate bound and the globally exponentially attractive set for this system. The results that obtained in this article provides theory basis for chaotic synchronization, chaotic control, Hausdorff dimension and the Lyapunov dimension of chaotic attractors. © 2016 Wiley Periodicals, Inc. Complexity 21: 67–72, 2016 |
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| Keywords: | Lorenz‐like chaotic system Lyapunov stability bounds Lagrange multiplier method |
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