Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65...57s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 1-2, pp. 57-68
Astronomy and Astrophysics
Astronomy
9
Chaotic Phenomena
Scientific paper
This paper summarizes a numerical study of the escape properties of three two-dimensional, time-independent potentials possessing different symmetries. It was found, for all three cases, that (i) there is a rather abrupt transition in the behaviour of the late-time probability of escape, when the value of a coupling parameter, ɛ, exceeds a critical value, ɛ2. For e > e2, it was found that (ii) the escape probability manifests an initial convergence towards a nearly time-independent value, p o(ɛ), which exhibits a simple scaling that may be universal. However, (iii) at later times the escape probability slowly decays to zero as a power-law function of time. Finally, it was found that (iv) in a statistical sense, orbits that escape from the system at late times tend to have short time Lyapounov exponents which are lower than for orbits that escape at early times.
Contopoulos George
Dvorak Rudolf
Kandrup Henry E.
Siopis Christos
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