# American Institute of Mathematical Sciences

March  2017, 22(2): 227-245. doi: 10.3934/dcdsb.2017012

## Convergence rate of synchronization of systems with additive noise

 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

* Corresponding author: Jicheng Liu

Received  January 2016 Revised  September 2016 Published  December 2016

Fund Project: The first author is supported by NSF grants of China Nos. 11271013 and 11471340.

The synchronization of stochastic differential equations (SDEs) with additive noise is investigated in pathwise sense, moreover convergence rate of synchronization is obtained. The optimality of the convergence rate is illustrated through examples.

Citation: Shahad Al-azzawi, Jicheng Liu, Xianming Liu. Convergence rate of synchronization of systems with additive noise. Discrete & Continuous Dynamical Systems - B, 2017, 22 (2) : 227-245. doi: 10.3934/dcdsb.2017012
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