New estimate the bounds for the generalized Lorenz system |
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| Authors: | Fuchen Zhang Guangyun Zhang Da Lin Xiangkai Sun |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;2. School of Foreign Languages, Southwest Petroleum University, Chengdu 610500, China;3. School of Automatic and Electronic Information, Sichuan University of Science and Engineering, Zigong 643000, China |
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| Abstract: | The bound of a chaotic system is important for chaos control, chaos synchronization, and other applications. In the present paper, the bounds of the generalized Lorenz system are studied, based on the Lyapunov function theory and the Lagrange multiplier method. We obtain a precise bound for the generalized Lorenz system. The rate of the trajectories is also obtained. Furthermore, we perform the numerical simulations. Numerical simulations are presented to show the effectiveness of the proposed scheme. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | generalized Lorenz system global attractive set Lyapunov stability |
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