A Solvable Model for Spatiotemporal Chaos
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
We show that the dynamical behavior of a coupled map lattice where the individual maps are Bernoulli shift maps can be solved analytically for integer couplings. We calculate the invariant density of the system and show that it displays a nontrivial spatial behavior. We also introduce and calculate a generalized spatiotemporal correlation function.
Cite
@article{arxiv.chao-dyn/9706008,
title = {A Solvable Model for Spatiotemporal Chaos},
author = {R. O. Grigoriev and H. G. Schuster},
journal= {arXiv preprint arXiv:chao-dyn/9706008},
year = {2009}
}
Comments
7 pages, 2 figures