Solvable model of spiral wave chimeras

Erik A. Martens, Carlo R. Laing, Steven H. Strogatz

Research output: Contribution to journalJournal articleResearchpeer-review


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.
Original languageEnglish
JournalPhysical Review Letters
Issue number4
Publication statusPublished - 2010
Externally publishedYes


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