Applied Mathematics and Mechanics

, Volume 13, Issue 1, pp 11–16 | Cite as

Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on smale horseshoes

  • Dong Guang-mao
  • Liu Zheng-rong
  • Xu Zheng-fan
Article

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.

Key words

stochasticity Smale horseshoe Ω-stability time-scale stochastic web 

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Copyright information

© Shanghai University of Technology (SUT) 1992

Authors and Affiliations

  • Dong Guang-mao
    • 1
  • Liu Zheng-rong
    • 2
    • 3
  • Xu Zheng-fan
    • 4
  1. 1.Xi'an Institute of TechnologyXi'an
  2. 2.Suzhou UniversitySuzhou
  3. 3.LNM, Institute of MechanicsChinese Academy of SciencesChina
  4. 4.Shanghai Maritime UniversityShanghai

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