A phase diagram for spatio-temporal intermittency in the sine circle map lattice

Details A phase diagram for spatio-temporal intermittency in the sine circle map lattice A phase diagram for spatio-temporal intermittency in the sine circle map lattice

2005-02-22

arxiv.org/abs/nlin/0502053v2

Proceedings of First National Conference on Nonlinear Systems & Dynamics, NCNSD-2003 (IIT- Kharagpur), Dec. 28-30, 2003. Page

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 eps figures. Minor formatting changes

Scientific paper

We study the phase diagram of the sine circle map lattice with random initial conditions and identify the various types of dynamical behaviour which appear here. We focus on the regions which show spatio-temporal intermittency and characterise the accompanying scaling behaviour. Directed percolation exponents are seen at some points in the parameter space in the neighbourhood of bifurcation boundaries. We discuss this behaviour as well as other types of behaviour seen in the parameter space in the context of the phase diagram.

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