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Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on smale horseshoes (1992)

Guang-mao, Dong ; Zheng-rong, Liu ; Zheng-fan, Xu

Springer

Applied mathematics and mechanics 13 (1992), S. 11-16

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ISSN: 1573-2754

Keywords: stochasticity ; Smale horseshoe ; Ω-stability ; time-scale ; stochastic web

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02450424

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