Solvable model of spiral wave chimeras

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

Research output: Contribution to journalJournal articleResearchpeer-review

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.
Original languageEnglish
JournalPhysical Review Letters
Volume104
Issue number4
ISSN0031-9007
DOIs
Publication statusPublished - 2010
Externally publishedYes

Cite this

Martens, Erik A. ; Laing, Carlo R. ; Strogatz, Steven H. / Solvable model of spiral wave chimeras. In: Physical Review Letters. 2010 ; Vol. 104, No. 4.
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Solvable model of spiral wave chimeras. / Martens, Erik A.; Laing, Carlo R.; Strogatz, Steven H.

In: Physical Review Letters, Vol. 104, No. 4, 2010.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Solvable model of spiral wave chimeras

AU - Martens, Erik A.

AU - Laing, Carlo R.

AU - Strogatz, Steven H.

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AB - 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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DO - 10.1103/PhysRevLett.104.044101

M3 - Journal article

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VL - 104

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

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