Synchronization and Clustering in Coupled SAW-tooth Maps

We consider ensembles of saw-tooth maps modified by adding a nonlinear term. The dynamics of an individual map is intermittent. Our numerical investigations show that the globally coupled ensemble can display asynchronous chaotic oscillations, coherent two-cluster collective behavior and complete mutual synchronization, depending on the coupling intensity. Circular arrays of these intermittent maps with a finite interaction radius support a variety of complex patterns, including spatial dynamic domains and traveling waves.

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