Discretisation of Global Attractors for Lattice Dynamical Systems

被引：0
|
作者：
Xiaoying Han
Peter E. Kloeden
Stefanie Sonner
机构：
[1] Auburn University,Department of Mathematics and Statistics
[2] Huazhong University of Science and Technology,School of Mathematics and Statistics
[3] Radboud University Nijmegen,IMAPP
来源：
Journal of Dynamics and Differential Equations | 2020年 / 32卷
关键词：
Lattice dynamical system; Global attractor; Implicit Euler scheme; Numerical attractor; Upper semicontinuous convergence; 34D45; 37L60; 65L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The existence of numerical attractors for lattice dynamical systems is established, where the implicit Euler scheme is used for time discretisation. Infinite dimensional discrete lattice systems as well as their finite dimensional truncations are considered. It is shown that the finite dimensional numerical attractors converge upper semicontinuously to the global attractor of the original lattice model as the discretisation step size tends to zero.
引用
收藏
页码：1457 / 1474
页数：17
相关论文
共 50 条
12345