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Dynamical behaviors of a new hyperchaotic system

机译:一个新的超混沌系统的动力学行为

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摘要

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 (C) 2014 John Wiley & Sons, Ltd.
机译:当前,在工程领域中通常使用混沌系统和基于混沌的应用程序。这些应用中使用的主要结构之一是混沌控制和同步。本文考虑了一个新的超混沌系统的动力学行为。基于具有不等式和积分不等式的李雅普诺夫定理,获得了全局指数吸引集和正不变集。此外,还获得了轨迹的速率。本文获得的系统的全局指数吸引集也为研究该系统的混沌控制和混沌同步提供了理论支持。计算机仿真结果表明,该方法是有效的。版权所有(C)2014 John Wiley&Sons,Ltd.

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