Lin Wei, He Yangbo
Research Center and Laboratory of Mathematics for Nonlinear Science, School of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China.
Chaos. 2005 Jun;15(2):23705. doi: 10.1063/1.1938627.
In this paper, complete synchronization between unidirectionally coupled Chua's circuits within stochastic perturbation is investigated. Sufficient conditions of complete synchronization between these noise-perturbed circuits are established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Specific examples and their numerical simulations are also provided to demonstrate the feasibility of these conditions. Furthermore, the results obtained for the coupled Chua's circuits are further generalized to the wide class of coupled systems within stochastic perturbation.
本文研究了在随机扰动下单向耦合蔡氏电路之间的完全同步。借助随机微分方程的所谓拉萨尔型不变性原理，建立了这些受噪声扰动电路之间完全同步的充分条件。还给出了具体例子及其数值模拟，以证明这些条件的可行性。此外，将耦合蔡氏电路所得到的结果进一步推广到随机扰动下的广泛耦合系统类中。
