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Attractors for stochastic lattice dynamical systems
with a multiplicative noise |
| CARABALLO Tomás1, LU Kening2 |
| 1.Depto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla; 2.Department of Mathematics, Brigham Young University |
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Abstract In this paper, we consider a stochastic lattice differential equation with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and multiplicative white noise at each node. We prove the existence of a compact global random attractor which, pulled back, attracts tempered random bounded sets.
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Issue Date: 05 September 2008
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