Realization of synchronization in time-delayed systems with stochastic perturbation
Realization of synchronization in time-delayed systems with stochastic perturbation
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DOI：
10.1088/1751-8113/41/23/235101
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发表时间：
2008-05
期刊：
影响因子：
--
通讯作者：
Wei Lin
中科院分区：
文献类型：
--
作者：
Wei Lin
由于噪声普遍存在于自然界和人工系统中，本文研究了随机扰动对单向耦合的Ikeda模型动力学的影响。一方面，这些噪声扰动和混沌模型之间的完全同步的充分条件的数学建立，并严格推导出的样本横向Lyapunov指数的估计。另一方面，具体的例子和数值模拟来说明我们的理论结果的可行性。此外，Ikeda模型的结果进一步推广到广泛的一类耦合的多时滞和一个共同的加性噪声的非线性系统。相信本文的研究思路和方法可以进一步推广到其它一些随机扰动下的混沌同步和混沌控制问题。
Since noise is ubiquitous in both nature and artificial systems, the stochastic perturbation influence on the dynamics of the unidirectionally coupled Ikeda models is investigated in this paper. On the one hand, sufficient conditions on the complete synchronization between these noise-perturbed and chaotic models are mathematically established, and an estimation of the sample transverse Lyapunov exponent is rigorously derived. On the other hand, specific examples and their numerical simulations are provided to illustrate the feasibility of our theoretical results. Moreover, the results on the Ikeda models are further generalized to a wide class of coupled nonlinear systems with multiple time delays and a common additive noise. It is believed that the idea and approach developed in this paper could be further generalized to investigate some other problems on chaos synchronization and chaos control with stochastic perturbation.