Synchronization between two different noise-perturbed chaotic systems with unknown parameters  

作　　者：贾飞蕾 徐伟 都琳 

机构地区：[1]Department of Applied Mathematics,Northwestern Polytechnical University,XI'an710072,China

出　　处：《Chinese Physics B》2007年第11期3249-3255,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10332030） and the Graduate Starting Seed Fund of Northwestern Polytechnical University, China （Grant No Z200655）.

摘　　要：In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed RSssler system, hyperchaotic Chen system and nolse-perturbed hyperchaotic RSssler system are taken for illustrative examples to demonstrate this technique.In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed RSssler system, hyperchaotic Chen system and nolse-perturbed hyperchaotic RSssler system are taken for illustrative examples to demonstrate this technique.

关 键 词：SYNCHRONIZATION adaptive control noise perturbation unknown parameters 

分 类 号：O422.8[理学—声学]