Synchronization in coupled stochastic sine-Gordonwave model

Igor  Chueshov; Peter E. Kloeden; Meihua  Yang

doi:10.3934/dcdsb.2016082

Article Contents

2016, Volume 21, Issue 9: 2969-2990. Doi: 10.3934/dcdsb.2016082

This issue Previous Article Equi-attraction and continuity of attractors for skew-product semiflows Next Article The transport equation and zero quadratic variation processes

Synchronization in coupled stochastic sine-Gordon wave model

1.
School of Mathematics & Informatics, Karazin Kharkov National University, Kharkov 61022
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: November 2016

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Abstract

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.

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Mathematics Subject Classification: Primary: 37L55, 34D06.

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