摘要
本文考虑耦合振子系统及对其按时间离散化（时间长为h）得到的离散动力系统．证明在一定条件下，这两个系统都有一维整体吸引子l和lh．进一步证明当时间步长h→0时，lh→l．
The systom of coupled oscillators and its time-discretization(with constantstepsze h) are considered in this paper. Under some conditions, it is showedthat the discrete systems have one-dimensional global attractors lh convergingto l which is the global attractor of continuous system.
出处
《应用数学和力学》
CSCD
北大核心
1997年第12期1075-1080,共6页
Applied Mathematics and Mechanics
关键词
耦合振子系
吸引子
逼近
离散动力系统
coupled oscillators system
attractor
cone
horizontal curve
