Loss of coherence in dynamical networks: spatial chaos and chimera states

2011/02/28 by Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel +1 · 1 citation
Physics and Astronomy · #nlin.AO #nlin.CD

paper · pdf · doi:10.1103/physrevlett.106.234102

4 pages, 4 figures

arxiv created 2011/05/19 · arxiv updated 2015/05/27

Abstract

We discuss the breakdown of spatial coherence in networks of coupled oscillators with nonlocal interaction. By systematically analyzing the dependence of the spatio-temporal dynamics on the range and strength of coupling, we uncover a dynamical bifurcation scenario for the coherence-incoherence transition which starts with the appearance of narrow layers of incoherence occupying eventually the whole space. Our findings for coupled chaotic and periodic maps as well as for time-continuous Rössler systems reveal that intermediate, partially coherent states represent characteristic spatio-temporal patterns at the transition from coherence to incoherence.

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