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

Abstract 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 Feigenbaum scaling. In the developed chaos region, intermittent ‘laminar’ and ‘turbulent’ behaviors of the map take place. In this region, the natural invariant density and Lyapunov exponent are deduced in analytical form. Analytical expressions of a correlation function and a distribution function of ‘laminar’ phase durations are represented as well. For the CML, a state density and correlation functions characterizing STC are calculated.

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