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arXiv · 1703.04015

Direct observation of chimera-like states in a ring of coupled electronic self-oscillators

L. Q. English·A. Zampetaki·P. G. Kevrekidis·K. Skowronski·C. B. Fritz·Saidou Abdoulkary
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Abstract

Chimera states are characterized by the symmetry-breaking coexistence of synchronized and incoherent groups of oscillators in certain chains of identical oscillators. We report on the direct experimental observation of states reminiscent of such chimeras within a ring of coupled electronic (Wien-bridge) oscillators, and compare these to numerical simulations of a theoretically derived model. Following up on earlier work characterizing the pairwise interaction of Wien-bridge oscillators by Kuramoto-Sakaguchi phase dynamics, we develop a lattice model for a chain thereof, featuring an {\it exponentially decaying} spatial kernel. We find that for certain values of the Sakaguchi parameter $\alpha$, chimera-like states involving the coexistence of two clearly-separated regions of distinct dynamical behavior can establish themselves in the ring lattice, characterized by both traveling and stationary coexistence domains of synchronization.

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L. Q. English, A. Zampetaki, P. G. Kevrekidis, K. Skowronski, C. B. Fritz, Saidou Abdoulkary. 2017-03-11. Direct observation of chimera-like states in a ring of coupled electronic self-oscillators. https://arxiv.org/abs/1703.04015

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