2012/11/09 by Mark J. Panaggio, Daniel M. Abrams · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Theoretical and Computational Physics #math-ph #math.DS #math.MP #nlin.CD #nlin.PS
paper · pdf · doi:10.1103/physrevlett.110.094102
published as Physical Review Letters 110, 094102 (2013) · 5 pages, 5 figures
arxiv created 2012/11/09 · openalex publication_date 2013/02/26 · arxiv updated 2015/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Chimera states are surprising spatiotemporal patterns in which regions of coherence and incoherence coexist. Initially observed numerically, these mathematical oddities were recently reproduced in a laboratory setting, sparking a flurry of interest in their properties. Here we use asymptotic methods to derive the conditions under which two-dimensional "spot" and "stripe" chimeras (similar to those observed in experiments) can exist in a periodic space. We also discover a previously unobserved asymmetric chimera state, whose existence plays a major role in determining when other chimera states are observable in experiment and simulation. Finally, we use numerical methods to verify theoretical predictions and determine which states are dynamically stable.