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arXiv · 0910.5389

Solvable Model of Spiral Wave Chimeras

Erik A. Martens·Carlo R. Laing·Steven H. Strogatz
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Abstract

Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological defect where the oscillator amplitude drops to zero. But if the coupling is nonlocal, a new kind of spiral can occur, with a circular core consisting of desynchronized oscillators running at full amplitude. Here we provide the first analytical description of such a spiral wave chimera, and use perturbation theory to calculate its rotation speed and the size of its incoherent core.

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Erik A. Martens, Carlo R. Laing, Steven H. Strogatz. 2009-12-12. Solvable Model of Spiral Wave Chimeras. https://doi.org/10.1103/physrevlett.104.044101

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