CLUSTERING IN A COUPLED MAP LATTICE

Abstract

Normal chaotic activity and anomalous chaotic activity have been observed in a uniform coupled map lattice (CML). The former is stable providing a space-time complexity by intermittency of different primitive clusterings. The latter is metastable being a synchronous chaotic activity throughout the CML. Small disturbance destroys it and the CML returns itself to the normal chaotic activity. A transition to the anomalous chaotic activity is possible via a saddle-node bifurcation from a checkerboard state, i.e., from a coherent ensemble of 2-periodic oscillating sites throughout the lattice with the neighboring ones opposite in phases.