Solvable model of spiral wave chimeras
Martens, Erik A. LU
; Laing, Carlo R.
and Strogatz, Steven H.
(2010)
In Physical Review Letters
104(4).
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/371a5378-48df-475b-aa70-7d8b5af7dbe3
- author
- Martens, Erik A.
LU
; Laing, Carlo R.
and Strogatz, Steven H.
- publishing date
- 2010-01-29
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Letters
- volume
- 104
- issue
- 4
- article number
- 044101
- publisher
- American Physical Society
- external identifiers
-
- scopus:75849147811
- ISSN
- 0031-9007
- DOI
- 10.1103/PhysRevLett.104.044101
- language
- English
- LU publication?
- no
- additional info
- Copyright: Copyright 2010 Elsevier B.V., All rights reserved.
- id
- 371a5378-48df-475b-aa70-7d8b5af7dbe3
- date added to LUP
- 2021-03-19 21:30:34
- date last changed
- 2022-04-11 08:43:32
@article{371a5378-48df-475b-aa70-7d8b5af7dbe3,
abstract = {{<p>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.</p>}},
author = {{Martens, Erik A. and Laing, Carlo R. and Strogatz, Steven H.}},
issn = {{0031-9007}},
language = {{eng}},
month = {{01}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review Letters}},
title = {{Solvable model of spiral wave chimeras}},
url = {{http://dx.doi.org/10.1103/PhysRevLett.104.044101}},
doi = {{10.1103/PhysRevLett.104.044101}},
volume = {{104}},
year = {{2010}},
}