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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基金项目: 国家自然科学基金资助

Stochasticity near Resonances in a kind of Near-lntegrable Hamiltonian Systems Based on Smale Horseshoes

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

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.
- 随机性 /
- Smale马蹄 /
- Ω-稳定性 /
- 时间尺度 /
- 随机网
Abstract: In this paper,a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltonian 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.
- stochasticity /
- Smale horseshoe /
- Ω-stability /
- time-scale /
- stochastic web

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