Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
2009
In this paper, we first present some sufficient conditions for the existence of a global random attractor for general stochastic lattice dynamical systems. These sufficient conditions provide a convenient approach to obtain an upper bound of Kolmogorov e-entropy for the global random attractor. Then we apply the abstract result to the stochastic lattice sine-Gordon equation.
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