Dynamics of chaos-order interface in coupled map lattices

✍ Scribed by Oliver Rudzick; Arkady Pikovsky; Christian Scheffczyk; Jürgen Kurths

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 870 KB
• Volume: 103
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00266-7

✦ Synopsis

We study a coupled map lattice model with two states: a simple fixed 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 different regimes of front propagation we can characterize different 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 flattening of the interface.