Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice

Abstract

The phase diagram of the coupled sine circle map system exhibits a variety of interesting phenomena including spreading regions with spatiotemporal intermittency, non-spreading regions with spatial intermittency, and coherent structures termed solitons. A spreading to non-spreading transition is seen in the system. A cellular automaton version of the coupled system maps the spreading to non-spreading transition to a transition from a probabilistic to a deterministic cellular automaton. The solitonic sector of the system shows spatiotemporal intermittency with soliton creation, propagation and absorption. A probabilistic cellular automaton mapping is set up for this sector which can identify each one of these phenomena.

Synchronization and suppression of chaos in non-locally coupled map lattices

“…A CML is basically composed of a local dynamical unit that undergoes discrete temporal evolution, interacting with other units through a given coupling prescription. Among the spatiotemporal features identified in coupled map lattices we can find synchronization of chaos [2], pattern formation [3], chaos suppression [4], intermittency [5][6][7] and multi-stability [8].…”