【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．更多还原

【Abstract】 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.更多还原