| Abstract: |
| Revised Abstract:
In this talk, we will investigate the existence of the pullback measure random attractor of stochastic FitzHugh-Nagumo equations in an infinite lattice with multiplicative white noise. Using the Ornstein-Uhlenbeck transform, we firstly show the existence of an absorbing set, then prove that the random dynamical system is asymptotically compact. Finally, the existence of the pullback measure random attractor is provided by constructing an invariant probability measure for the corresponding random dynamical system, which characterizes the long-term statistical behavior of the stochastic lattice system. |
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