拉回吸引子
拉回
吸引子
数学
不变(物理)
希尔伯特空间
纯数学
克莱恩-戈登方程
薛定谔猫
不变测度
数学物理
动力系统理论
数学分析
物理
量子力学
非线性系统
遍历理论
作者
Caidi Zhao,Gang Xue,Grzegorz Łukaszewicz
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2018-01-01
卷期号:23 (9): 4021-4044
被引量:21
标识
DOI:10.3934/dcdsb.2018122
摘要
In this article, we first provide a sufficient and necessary condition for the existence of a pullback-$ {\mathcal D} $ attractor for the process defined on a Hilbert space of infinite sequences. As an application, we investigate the non-autonomous discrete Klein-Gordon-Schrödinger system of equations, prove the existence of the pullback-$ {\mathcal D} $ attractor and then the existence of a unique family of invariant Borel probability measures associated with the considered system.
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