Intermittency in two dimensions
Chaotic Dynamics
2007-12-20 v1
Abstract
We introduce a family of area-preserving maps representing a (non-trivial) two-dimensional extension of the Pomeau-Manneville family in one dimension. We analyze the long-time behavior of recurrence time distributions and correlations, providing analytical and numerical estimates. We study the transport properties of a suitable lift and use a probabilistic argument to derive the full spectrum of transport moments. Finally the dynamical effects of a stochastic perturbation are considered.
Cite
@article{arxiv.0712.3191,
title = {Intermittency in two dimensions},
author = {Roberto Artuso and Lucia Cavallasca and Giampaolo Cristadoro},
journal= {arXiv preprint arXiv:0712.3191},
year = {2007}
}
Comments
9 pages, 11 figures