On the density of directional entropy in lattice dynamical systems Article uri icon

abstract

  • We study the direction dependence of the density of directional entropy in lattice dynamical systems. We show that if the dynamics is homogeneous and continuous, then this density does not depend on the direction in space-time. By using symbolic dynamics we derive formulae for the density for weakly coupled hyperbolic maps. As a corollary, we present examples where this density actually depends on the direction, provided that individual subsystems are sufficiently different.

publication date

  • 2004-01-01