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

Renal and Vascular Research

205 Citations (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.

Original language	Undefined/Unknown
Journal	Physical Review Letters
Volume	104
Issue number	4
Pages (from-to)	044101
Number of pages	1
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.104.044101
Publication status	Published - 29 Jan 2010

Keywords

Chimera states,Kuramoto model,Spiral waves

Access to Document

10.1103/PhysRevLett.104.044101

Cite this

@article{8f77705231cc4febb0231d5d51cbece9,

title = "Solvable Model of Spiral Wave Chimeras",

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.",

keywords = "Chimera states,Kuramoto model,Spiral waves",

author = "Martens, {Erik Andreas} and Laing, {Carlo R.} and Strogatz, {Steven H.}",

year = "2010",

month = jan,

day = "29",

doi = "10.1103/PhysRevLett.104.044101",

language = "Udefineret/Ukendt",

volume = "104",

pages = "044101",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Solvable Model of Spiral Wave Chimeras

AU - Martens, Erik Andreas

AU - Laing, Carlo R.

AU - Strogatz, Steven H.

PY - 2010/1/29

Y1 - 2010/1/29

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

U2 - 10.1103/PhysRevLett.104.044101

DO - 10.1103/PhysRevLett.104.044101

M3 - Tidsskriftartikel

SN - 0031-9007

VL - 104

SP - 044101

JO - Physical Review Letters

JF - Physical Review Letters

IS - 4

ER -