数学
独特性
吸引子
李普希茨连续性
格子(音乐)
数学分析
不变测度
混合(物理)
度量(数据仓库)
随机微分方程
统计物理学
遍历理论
物理
数据库
量子力学
计算机科学
声学
作者
Zhang Chen,Dandan Yang,Shitao Zhong
标识
DOI:10.1080/07362994.2022.2038624
摘要
This work is devoted to stochastic reaction-diffusion lattice system driven by Lévy noises when the drift and diffusion terms are locally Lipschitz continuous. First, we investigate the existence and uniqueness of solutions of such system as well as weak pullback mean random attractors. Then the existence of periodic measures is obtained by the idea of uniform tail-estimates and Krylov-Bogolyubov's method. Under further conditions, we establish the uniqueness and the exponentially mixing property of periodic measure. Finally, the limit behavior of periodic measures is investigated for stochastic lattice system driven by Lévy noises with respect to noise intensities.
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