Probabilistic signatures of spatiotemporal intermittency in the coupled sine circle map lattice |
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Authors: | Zahera Jabeen Neelima Gupte |
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Affiliation: | (1) Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India;(2) Department of Physics, Indian Institute of Technology Madras, Chennai, 600 036, India |
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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. |
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Keywords: | Coupled map lattice spatiotemporal intermittency cellular automata |
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