# American Institute of Mathematical Sciences

November  2016, 21(9): 2969-2990. doi: 10.3934/dcdsb.2016082

## Synchronization in coupled stochastic sine-Gordon wave model

 1 School of Mathematics & Informatics, Karazin Kharkov National University, Kharkov 61022, Ukraine 2 School of Mathematics and Statistics, Huazhong University of Science & Technology, Wuhan 430074 3 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074

Received  December 2015 Revised  March 2016 Published  October 2016

The asymptotic synchronization at the level of global random attractors is investigated for a class of coupled stochastic second order in time evolution equations. The main focus is on sine-Gordon type models perturbed by additive white noise. The model describes distributed Josephson junctions. The analysis makes extensive use of the method of quasi-stability.
Citation: Igor Chueshov, Peter E. Kloeden, Meihua Yang. Synchronization in coupled stochastic sine-Gordon wave model. Discrete & Continuous Dynamical Systems - B, 2016, 21 (9) : 2969-2990. doi: 10.3934/dcdsb.2016082
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