Globally coupled chaotic maps with bistable behaviour: Large deviations
Dynamical Systems
2010-09-09 v2 Chaotic Dynamics
Abstract
For a system of globally coupled chaotic maps with bistable behaviour we relate the rate function for large deviations in the system size at finite time to dynamical properties of the self consistent Perron-Frobenius operator (SCPFO) that describes the system in the infinite size limit.
Cite
@article{arxiv.1004.0134,
title = {Globally coupled chaotic maps with bistable behaviour: Large deviations},
author = {Gerhard Keller},
journal= {arXiv preprint arXiv:1004.0134},
year = {2010}
}
Comments
This paper has been withdrawn by the author due to a severe error in the proof of the main result and some (less severe) errors in section 2. A much less general version of the main theorem remains true, though