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arXiv 1312.2659math.DS
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非高斯Lévy噪声驱动的耦合随机系统的同步

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

Anhui Gu, Yangrong Li

摘要:

我们考虑非高斯Lévy噪声驱动的随机常微分方程(SODE)耦合随机系统($N$)($N\in \mathbb{N})$)解的同步。在一定的耗散性和可积性条件下,讨论了两个解之间以及解的不同分量之间的同步问题。我们的结果推广了Liu et al(2010)和Shen et al(2010)的现有工作。

英文摘要:

We consider the synchronization of the solutions to coupled stochastic systems of $N$-stochastic ordinary differential equations (SODEs) driven by Non-Gaussian Lévy noises ($N\in \mathbb{N})$. 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).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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