Synchronization between two different noise-perturbed chaotic systems with unknown parameters |
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| Authors: | Jia Fei-Lei Xu Wei and Du Lin |
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| Affiliation: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China |
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| Abstract: | 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 acombination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between thesenoise-perturbed systems with unknown parameters are established. The model used in the research is the chaoticsystem, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed R¨osslersystem, hyperchaotic Chen system and noise-perturbed hyperchaotic R¨ossler system are taken for illustrative examplesto demonstrate this technique. |
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| Keywords: | synchronization adaptive control noise perturbation unknown parameters |
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