Spatiotemporal intermittency and scaling laws in coupled map lattices

Details Spatiotemporal intermittency and scaling laws in coupled map lattices Spatiotemporal intermittency and scaling laws in coupled map lattices

2005-04-11

arxiv.org/abs/nlin/0504022v1

Nonlinear Sciences

Chaotic Dynamics

23 pages, 6 figures, To appear in the Proceedings of Indian National Science Academy, Part A

Scientific paper

We discuss the spatiotemporal intermittency (STI) seen in coupled map lattices (CML-s). We identify the types of intermittency seen in such systems in the context of several specific CML-s. The Chat\'e-Manneville CML is introduced and the on-going debate on the connection of the spatiotemporal intermittency seen in this model with the problem of directed percolation is summarised. We also discuss the STI seen in the sine circle map model and its connection with the directed percolation problem, as well as the inhomogenous logistic map lattice which shows the novel phenomenon of spatial intermittency and other types of behaviour not seen in the other models. The connection of the bifurcation behaviour in this model with STI is touched upon. We conclude with a discussion of open problems.

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