Space-time directional Lyapunov exponents for cellular automata

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.

References in corpus (1)

• Cellular automata and Lyapunov exponents

Cited by in corpus (5)

• On entropy, entropy-like quantities, and applications
• A Comprehensive Taxonomy of Cellular Automata
• A generalized public goods game with coupling of individual ability and project benefit
• Introducing Lyapunov profiles of cellular automata
• Stability of cellular automata trajectories revisited: branching walks and Lyapunov profiles