Intermittency in two dimensions

Details Intermittency in two dimensions Intermittency in two dimensions

2007-12-19

arxiv.org/abs/0712.3191v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 11 figures

Scientific paper

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.

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