Numerical Study of a Random Dynamical System with Two Degrees of Freedom

Details Numerical Study of a Random Dynamical System with Two Degrees of Freedom Numerical Study of a Random Dynamical System with Two Degrees of Freedom

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37...87f&link_type=abstract

Astrophysics and Space Science, Volume 37, Issue 1, pp.87-100

Astronomy and Astrophysics

Astrophysics

5

Scientific paper

The classical situation of dynamical systems with two degrees of freedom is completely modified by the introduction of a stochastic element which provides a slow dissolution of the zone of stability. Using a Fokker-Planck method it has been shown that the Gambler's ruin problem is a rather good approximation of the diffusion process. Furthermore the orbits exhibit aC-system character even during the diffusion process.

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