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

Dong Guaug-mao; Liu Zeng-rong; Xu Zheng-fan

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(1): 11-16

Dong Guaug-mao, Liu Zeng-rong, Xu Zheng-fan. 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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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

Publish Date: 1992-01-15

Abstract

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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References(11)

References

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