Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
Chaotic Dynamics
2007-05-23 v1
Abstract
We study a d-dimensional coupled map lattice consisting of hyperbolic toral automorphisms (Arnold cat maps) that are weakly coupled by an analytic coupling map. We construct the Sinai-Ruelle-Bowen measure for this system and study its marginals on the tori. We prove they are absolutely continuous with respect to the Lebesgue measure if and only if the coupling satisfies a nondegeneracy condition.
Keywords
Cite
@article{arxiv.nlin/0310009,
title = {Absolute continuity of projected SRB measures of coupled Arnold cat map lattices},
author = {F. Bonetto and A. Kupiainen and J. Lebowitz},
journal= {arXiv preprint arXiv:nlin/0310009},
year = {2007}
}