Anomalous oscillations of average transient lifetimes near crises
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map.
Keywords
Cite
@article{arxiv.chao-dyn/9811007,
title = {Anomalous oscillations of average transient lifetimes near crises},
author = {Krzysztof Kacperski and Janusz A. Holyst},
journal= {arXiv preprint arXiv:chao-dyn/9811007},
year = {2009}
}
Comments
5 pages, 4 figures