ON THE RECURRENCE AND LYAPUNOV TIME SCALES OF THE MOTION NEAR THE CHAOS BORDER

Authors
Citation
Ii. Shevchenko, ON THE RECURRENCE AND LYAPUNOV TIME SCALES OF THE MOTION NEAR THE CHAOS BORDER, Physics letters. A, 241(1-2), 1998, pp. 53-60
Citations number
20
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
241
Issue
1-2
Year of publication
1998
Pages
53 - 60
Database
ISI
SICI code
0375-9601(1998)241:1-2<53:OTRALT>2.0.ZU;2-R
Abstract
Conditions for the emergence of a statistical relationship between T-r , the chaotic transport (recurrence) time, and T-L, the local Lyapunov time (the inverse of the numerically measured largest Lyapunov charac teristic exponent), are considered for the motion inside the chaotic l ayer around the separatrix of a nonlinear resonance. When numeric valu es of the Lyapunov exponents are measured on a time interval not great er than T-r, the relationship is shown to resemble the quadratic one. This tentatively explains numeric results presented in the literature. (C) 1998 Elsevier Science B.V.