Spatiotemporal chaos in a 2D coupled map lattice with pinning-like force

Spatiotemporal chaos (STC) has been observed in a coupled map lattice (CML) which describes magnetic vortex pinning in superconductors. For the single -site map, a transition to chaos is realized by period doubling with Feigen baum scaling. In the developed chaos region, intermittent 'laminar' and 'tu rbulent' behaviors of the map take place. In this region, the natural invar iant density and Lyapunov exponent are deduced in analytical form. Analytic al expressions of a correlation function and a distribution function of 'la minar' phase durations are represented as well. For the CML, a state densit y and correlation functions characterizing STC are calculated. (C) 1999 Els evier Science B.V. All rights reserved.