The ultimate bound of a chaotic system and its application in chaos synchronization

The ultimate bound of a chaotic system and its application in chaos synchronization
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发表时间:
2008
期刊:
Journal of Chongqing Technology and Business University
影响因子:
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通讯作者:
Yuan Guan-xiu
Yuan Guan-xiu
中科院分区:
其他
文献类型:
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作者:
Yuan Guan-xiu

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利用广义李雅普诺夫函数和最优化方法研究了混沌系统的最终有界和正不变集,得到了许多类椭球公式,并将其应用于混沌同步的研究,实现了两个系统的全局同步,数值仿真结果表明了所提出的混沌同步方案的有效性.
This paper investigates the ultimate bound and positively invariant set for a chaotic system via the generalized Lyapunov function and optimization.Many ellipsoidal-like formulas can be derived.Then the result is applied to the study of chaos synchronization and the global synchronization of the two systems is achieved.Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.