Complete description of weakly coupled chaotic subsystems Article uri icon


  • We study the dynamics of one-dimensional lattices of weakly coupled maps of R. The local dynamics has an invariant hyperbolic set. Moreover, the trajectories from non expanding (and weakly expanding) points go to infinity (for local dynamical system). Under these assumptions we show that, if the coupling is weak enough, the extended system has similar dynamics.

publication date

  • 2002-01-01