| 一类近可积Hamilton系统中随机现象和Smale马蹄间的关系 |
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| 引用本文： | 董广茂,刘曾荣,许政范. 一类近可积Hamilton系统中随机现象和Smale马蹄间的关系[J]. 应用数学和力学, 1992, 13(1): 11-16 |
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| 作者姓名： | 董广茂 刘曾荣 许政范 |
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| 作者单位： | 1.西安工业学院; |
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| 摘 要： | 本文得到一种方法,可以用来研究含有两时间尺度系统中的复杂动力学行为.特别,利用这种方法,本文讨论了一类含有两时间尺度的近可积Hamilton系统的随机性,证明它实际上一种Smale马蹄意义下的混沌.最后,通过一个例子说明我们方法的有效性并在其中发现了一张随机网.
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| 关 键 词： | 随机性 Smale马蹄 Ω-稳定性 时间尺度 随机网 |
Stochasticity near Resonances in a kind of Near-lntegrable Hamiltonian Systems Based on Smale Horseshoes |
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| Dong Guaug-mao. Stochasticity near Resonances in a kind of Near-lntegrable Hamiltonian Systems Based on Smale Horseshoes[J]. Applied Mathematics and Mechanics, 1992, 13(1): 11-16 |
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| Authors: | Dong Guaug-mao |
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| Affiliation: | 1.Xi'an Institute of Technology, Xi'an;2.Suzhou University, Suzhou; LNM, Institute of Mechanics, Chinese Academy of Sciences;3.Shanhai Maritime University, Shanghai |
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| Abstract: | In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltoaian system with two time-scales. One is fast and the other slow. The stochasticity is showed to be chaos in the sense of Smale horseshoes actually. A stochastic web is discovered in our example by use of the results obtained in this paper. |
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