Attractors for stochastic lattice dynamical systems with a multiplicative noise
Attractors for stochastic lattice dynamical systems with a multiplicative noise
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DOI：
10.1007/s11464-008-0028-7
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发表时间：
2008-07
影响因子：
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通讯作者：
T. Caraballo;K. Lu
中科院分区：
文献类型：
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作者：
T. Caraballo;K. Lu
本文考虑了一个随机格型微分方程，该方程具有扩散近邻相互作用、耗散非线性反应项和每个节点处的乘性白噪声。证明了一个紧致全局随机吸引子的存在性，该吸引子被拉回后能吸引随机有界集。
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.