# American Institute of Mathematical Sciences

January  2017, 37(1): 575-590. doi: 10.3934/dcds.2017023

## The attractors for 2nd-order stochastic delay lattice systems

 1 School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China 2 Department of Mathematics, Henan Normal University, Xinxiang 453007, China

Received  February 2016 Revised  September 2016 Published  November 2016

Fund Project: This work is supported by NSFC (Grant Nos. 11571128,11601133).

This paper deals with the long-time dynamical behavior of a classof 2nd-order stochastic delay lattice systems. It is shown under thedissipative and sublinear growth conditions that such a systempossesses a compact global random attractor within the set oftempered random bounded sets. A numerical example is given toillustrate the obtained theoretical result.

Citation: Chengjian Zhang, Lu Zhao. The attractors for 2nd-order stochastic delay lattice systems. Discrete & Continuous Dynamical Systems - A, 2017, 37 (1) : 575-590. doi: 10.3934/dcds.2017023
##### References:

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##### References:
Numerical simulation for the equation (5.1) with $u_i(t)=\frac{\partial}{\partial t}u_i(t)=\exp(t)\cos(\frac{i\pi }{50})$
Numerical simulation for the equation (5.1) with $u_i(t)=\frac{\partial}{\partial t}u_i(t)=\exp(t)\sin(\frac{i\pi }{50})$
Numerical solutions with different initial conditions at time $t=10$
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