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

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.

6 pages, 2 figures. Submitted to Pramana-Journal of Physics. To appear in the Proceedings of "Perspectives in Nonlinear Dynamics 2007"

References in corpus (3)

• Classifying the expansion kinetics and critical surface dynamics of growing cell populations
• Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice
• Dynamic characterisers of spatiotemporal intermittency