Characterization of a periodically driven chaotic dynamical system
chao-dyn
2009-10-28 v2 Condensed Matter
Chaotic Dynamics
Abstract
We discuss how to characterize the behavior of a chaotic dynamical system depending on a parameter that varies periodically in time. In particular, we study the predictability time, the correlations and the mean responses, by defining a local--in--time version of these quantities. In systems where the time scale related to the time periodic variation of the parameter is much larger than the ``internal'' time scale, one has that the local quantities strongly depend on the phase of the cycle. In this case, the standard global quantities can give misleading information.
Cite
@article{arxiv.chao-dyn/9605011,
title = {Characterization of a periodically driven chaotic dynamical system},
author = {A Crisanti and M. Falcioni and G. Lacorata and R. Purini and A. Vulpiani},
journal= {arXiv preprint arXiv:chao-dyn/9605011},
year = {2009}
}
Comments
15 pages, Revtex 2.0, 8 figures, included. All files packed with uufiles