Dynamical behaviors of a new hyperchaotic system |
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Authors: | Yonglu Shu Fuchen Zhang Chunlai Mu |
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Affiliation: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;2. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China |
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Abstract: | Currently, chaotic systems and chaos‐based applications are commonly used in the engineering fields. One of the main structures used in these applications is chaotic control and synchronization. In this paper, the dynamical behaviors of a new hyperchaotic system are considered. Based on Lyapunov Theorem with differential and integral inequalities, the global exponential attractive sets and positively invariant sets are obtained. Furthermore, the rate of the trajectories is also obtained. The global exponential attractive sets of the system obtained in this paper also offer theoretical support to study chaotic control, chaotic synchronization for this system. Computer simulation results show that the proposed method is effective. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | dynamical behaviors global attractive set hyperchaotic system |
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