2009/10/31 by Erik A. Martens, Carlo R. Laing, Steven H. Strogatz · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Amplitude #Chimera (genetics) #Classical mechanics #Geometry #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Perturbation (astronomy) #Physics #Quantum mechanics #Singularity #Slime Mold and Myxomycetes Research #Spiral (railway) #Spiral wave #Topology (electrical circuits) #nlin.AO #nlin.PS #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.104.044101
published as Phys. Rev. E 79, 026204 (2009) · 4 pages, 4 figures; added reference, figure, further numerical tests
arxiv created 2009/12/12 · openalex publication_date 2010/01/29 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.