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
Permalink