Solvable Model of Spiral Wave Chimeras

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Solvable Model of Spiral Wave Chimeras. / Martens, Erik Andreas; Laing, Carlo R.; Strogatz, Steven H.

In: Physical Review Letters, Vol. 104, No. 4, 01.01.2010, p. 044101.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Martens, EA, Laing, CR & Strogatz, SH 2010, 'Solvable Model of Spiral Wave Chimeras', Physical Review Letters, vol. 104, no. 4, pp. 044101. https://doi.org/10.1103/PhysRevLett.104.044101

APA

Martens, E. A., Laing, C. R., & Strogatz, S. H. (2010). Solvable Model of Spiral Wave Chimeras. Physical Review Letters, 104(4), 044101. https://doi.org/10.1103/PhysRevLett.104.044101

Vancouver

Martens EA, Laing CR, Strogatz SH. Solvable Model of Spiral Wave Chimeras. Physical Review Letters. 2010 Jan 1;104(4):044101. https://doi.org/10.1103/PhysRevLett.104.044101

Author

Martens, Erik Andreas ; Laing, Carlo R. ; Strogatz, Steven H. / Solvable Model of Spiral Wave Chimeras. In: Physical Review Letters. 2010 ; Vol. 104, No. 4. pp. 044101.

Bibtex

@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 = "1",
doi = "10.1103/PhysRevLett.104.044101",
language = "English",
volume = "104",
pages = "044101",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Solvable Model of Spiral Wave Chimeras

AU - Martens, Erik Andreas

AU - Laing, Carlo R.

AU - Strogatz, Steven H.

PY - 2010/1/1

Y1 - 2010/1/1

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 - Journal article

VL - 104

SP - 044101

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 4

ER -

ID: 71128838