Transient chaos measurements using finite-time Lyapunov exponents

The notion of finite-time Lyapunov exponent averaged over initial conditions is used for characterizing transient chaos observed in one-dimensional maps. A model of its dependence on time is verified by comparing theoretically predicted values with those obtained numerically. Finally, the same model...

Full description

Saved in:
Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2010-09, Vol.20 (3), p.033117-033117-13
Main Authors: Stefański, K., Buszko, K., Piecyk, K.
Format: Article
Language:English
Subjects:
Models, Theoretical
Nonlinear Dynamics
Time Factors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The notion of finite-time Lyapunov exponent averaged over initial conditions is used for characterizing transient chaos observed in one-dimensional maps. A model of its dependence on time is verified by comparing theoretically predicted values with those obtained numerically. Finally, the same model is used for estimating duration of transient chaos (rambling time) for some maps from the logistic family.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.3483877