Dynamics of Chaos - Order Interface in Coupled Map

نویسندگان

  • Oliver RUDZICK
  • Arkady PIKOVSKY
  • Christian SCHEFFCZYK
چکیده

We study a coupled map lattice model with two states: a simple xed point and spatio-temporal chaos. Preparing properly initial conditions, we investigate the dynamics of the interface between order and chaos. In the one-dimensional lattice regimes of irregular and regular front propagation behavior are observed and analyzed by introducing a local front map and a front Lyapunov exponent. Corresponding to these diierent regimes of front propagation we can characterize diierent types of transitions from laminar state to chaos using comoving Lyapunov exponents. In the two-dimensional lattice these types of front motion are related to regimes of roughening and attening of the interface.

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تاریخ انتشار 1997