Solvable Model of Spiral Wave Chimeras

Erik Andreas Martens; Carlo R. Laing; Steven H. Strogatz

doi:10.1103/PhysRevLett.104.044101

Solvable Model of Spiral Wave Chimeras

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

Nyre- og Karforskning

205 Citationer (Scopus)

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.

Originalsprog	Udefineret/Ukendt
Tidsskrift	Physical Review Letters
Vol/bind	104
Udgave nummer	4
Sider (fra-til)	044101
Antal sider	1
ISSN	0031-9007
DOI	https://doi.org/10.1103/PhysRevLett.104.044101
Status	Udgivet - 29 jan. 2010

Adgang til dokumentet

10.1103/PhysRevLett.104.044101

Citationsformater

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AU - Martens, Erik Andreas

AU - Laing, Carlo R.

AU - Strogatz, Steven H.

PY - 2010/1/29

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N2 - 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.

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.

KW - Chimera states,Kuramoto model,Spiral waves

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DO - 10.1103/PhysRevLett.104.044101

M3 - Tidsskriftartikel

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