| 吸引子的逼近 |
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| 引用本文： | 秦文新,刘曾荣.吸引子的逼近[J].应用数学和力学,1997,18(12):1075-1080. |
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| 作者姓名： | 秦文新 刘曾荣 |
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| 作者单位： | 1.苏州大学数学系, 江苏省苏州 215006; |
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| 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.
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| 关 键 词： | 耦合振子系 吸引子 锥 水平曲线 |
| 收稿时间： | 1996-03-11 |
Convergence of Attractors |
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| Qin Wenxin, Liu Zengrong.Convergence of Attractors[J].Applied Mathematics and Mechanics,1997,18(12):1075-1080. |
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| Authors: | Qin Wenxin Liu Zengrong |
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| Institution: | 1.Department of Mathematics, Suzhou Universitg, Suzhou 215006;2.LNM, Institute of Mechanics, Chinese Academy of Science, Beijing, 100080, P. R. China |
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| 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. |
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| Keywords: | coupled oscillators system attractor cone horizontal curve |
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