Department of Mathematics, Nanchang University, Jiangxi 330031, People's Republic of China.
Chaos. 2012 Jun;22(2):023109. doi: 10.1063/1.3702864.
In this paper, the finite-time stochastic combination synchronization of three different chaotic systems is investigated. Based on the adaptive technique and the properties of Weiner process, a novel sufficient condition is obtained to ensure combination synchronization under stochastic perturbations. Moreover, a secure communication scheme based on the adaptive combination synchronization of three different systems, i.e., the Lorenz system, Chen system, and Lü system, with uncertainties, unknown parameters, and stochastic perturbation is presented. The simulation results show the feasibility of the proposed method.
本文研究了三个不同混沌系统的有限时间随机组合同步。基于自适应技术和 Wiener 过程的性质，得到了一个新的充分条件，以确保在随机扰动下的组合同步。此外，提出了一种基于不确定、未知参数和随机扰动的三个不同系统（即 Lorenz 系统、Chen 系统和 Lü 系统）自适应组合同步的安全通信方案。仿真结果表明了所提出方法的可行性。
