Synchronization of Coupled Stochastic Systems Driven by Non-Gaussian Lévy Noises

preprint2013arXivOpen access

Abstract

We consider the synchronization of the solutions to coupled stochastic systems of NN-stochastic ordinary differential equations (SODEs) driven by Non-Gaussian Lévy noises (N∈N)N\in \mathbb{N}). We discuss the synchronization between two solutions and among different components of solutions under certain dissipative and integrability conditions. Our results generalize the present work obtained in Liu et al (2010) and Shen et al (2010).

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