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

Fingerprint

Dive into the research topics of 'Solvable model of spiral wave chimeras'. Together they form a unique fingerprint.

Cite this