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

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

2008-03-10

arxiv.org/abs/0803.1353v1

Pramana Vol. 70 No.6, 1055 (2008)

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1007/s12043-008-0110-4

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.

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