Space-time directional Lyapunov exponents for cellular automata
Cellular Automata and Lattice Gases
2009-11-11 v1 Dynamical Systems
Chaotic Dynamics
Abstract
Space-time directional Lyapunov exponents are introduced. They describe the maximal velocity of propagation to the right or to the left of fronts of perturbations in a frame moving with a given velocity. The continuity of these exponents as function of the velocity and an inequality relating them to the directional entropy is proved.
Cite
@article{arxiv.nlin/0603058,
title = {Space-time directional Lyapunov exponents for cellular automata},
author = {Maurice Courbage and Brunon Kaminski},
journal= {arXiv preprint arXiv:nlin/0603058},
year = {2009}
}