| 奇异摄动方法及其应用 |
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| 引用本文： | 顾仲梅.奇异摄动方法及其应用[J].哈尔滨工程大学学报,1992(1). |
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| 作者姓名： | 顾仲梅 |
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| 作者单位： | 哈尔滨船舶学院管理工程系 |
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| 摘 要： | 本文介绍了作者认为目前最适用于在计算机上进行计算的一种奇异摄动问题的求解方法-O'Malley/Hoppensteadt方法,介绍了关于奇异摄动理论的一些新的结果,指出了奇异摄动现象的普遍存在性和奇异摄动理论的广泛应用前景,特别是应用在解决“混沌”(Chaos)问题上的可能性.
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| 关 键 词： | 奇异摄动 微分方程 奇异流形 混沌 |
On Singular Perturbation Method and its Application |
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| Gu Zhongmei.On Singular Perturbation Method and its Application[J].Journal of Harbin Engineering University,1992(1). |
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| Authors: | Gu Zhongmei |
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| Affiliation: | Dept. of Management Eng. |
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| Abstract: | In this paper the author introduces thd O'Malley / Hoppensteadt method, which is the most convenient singular perturbation method for implementation on computers and introduces some new results in this field.Also the author pointed out that singular perturbation exists everywhere and the application of singular perturbation theory in the real world problems is promising.Particularly it may play an important role in the chaotic and pseudostochastic problems. |
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| Keywords: | singular perturbation differential equation singular manifold chaos |
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