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

TL;DR

This paper investigates the complex behaviors in a coupled sine circle map lattice, including intermittency and solitons, using cellular automaton mappings to understand phase transitions and spatiotemporal dynamics.

Contribution

It introduces probabilistic cellular automaton models to analyze spreading, non-spreading, and solitonic phenomena in the coupled map lattice, revealing new insights into their transitions.

Findings

Identification of spreading and non-spreading regions in the phase diagram.

Mapping of phase transitions to cellular automaton models.

Characterization of soliton dynamics and intermittency phenomena.

Abstract

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