title: Transient chaos measurements using finite-time Lyapunov exponents.
abstract: 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.
authors.affiliation: Department of Theoretical Foundations of Bio-medical Science and Medical Informatics, Collegium Medicum in Bydgoszcz, Nicolaus Copernicus University, ul. Jagiellońska 13, 85-094 Bydgoszcz, Poland. stefan@phys.uni.torun.pl
authors.forename: K
authors.initials: K
authors.lastname: Stefański
authors.forename: K
authors.initials: K
authors.lastname: Buszko
authors.forename: K
authors.initials: K
authors.lastname: Piecyk
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013997:Time Factors