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

Autor: Guang-mao, Dong, Zheng-rong, Liu, Zheng-fan, Xu
Zdroj: Applied Mathematics and Mechanics; January 1992, Vol. 13 Issue: 1 p11-16, 6p
Abstrakt: 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.
Databáze: Supplemental Index