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arXiv · 1102.4709

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

Iryna Omelchenko·Yuri Maistrenko·Philipp Hövel·Eckehard Schöll
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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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Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. 2011-05-19. Loss of coherence in dynamical networks: spatial chaos and chimera states. https://doi.org/10.1103/physrevlett.106.234102

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