Space-time directional Lyapunov exponents for cellular automata

Maurice Courbage (1) , Brunon Kaminski (2)

1 MSC - Matière et Systèmes Complexes
2 Nicolaus Copernicus University [Toruń]

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.

Mots clés: space-time directional Lyapounov exponents; directional entropy; cellular automata

Domaines: Automates cellulaires et gaz sur réseau [nlin.CG]; Systèmes dynamiques [math.DS]; Dynamique Chaotique [nlin.CD]

Maurice Courbage, Brunon Kaminski. Space-time directional Lyapunov exponents for cellular automata. Journal of Statistical Physics, 2006, 124, pp.1499-1509. ⟨10.1007/s10955-006-9172-1⟩. ⟨hal-00021764⟩