Complex Rotating Waves and Long Transients in a Ring-Network of Electrochemical Oscillators with Sparse Random Cross-Connections

Michael Sebek; Ralf Tönjes; István Z. Kiss

doi:10.1103/physrevlett.116.068701

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arXiv · 1601.02870

Complex Rotating Waves and Long Transients in a Ring-Network of Electrochemical Oscillators with Sparse Random Cross-Connections

Michael Sebek·Ralf Tönjes·István Z. Kiss

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Abstract

We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and non-isochronocity of the interactions on the pattern formation. A few additional links facilitate the emergence of the fully synchronized state. With larger non-isochronicity, complex rotating waves or persistent irregular phase dynamics can derail the convergence to global synchronization. The observed long transients of irregular phase dynamics exemplify the possibility of a sudden onset of hyper synchronous behavior without any external stimulus or network reorganization.

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Michael Sebek, Ralf Tönjes, István Z. Kiss. 2016-01-12. Complex Rotating Waves and Long Transients in a Ring-Network of Electrochemical Oscillators with Sparse Random Cross-Connections. https://doi.org/10.1103/physrevlett.116.068701

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