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Stability of Spiral Chimera States on a Torus

Oleh E. Omel'chenkoMatthias WolfrumEdgar Knobloch

出版	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017
URL	http://books.google.com.hk/books?id=zyL7zgEACAAJ&hl=&source=gbs_api

註釋

We study destabilization mechanisms of spiral coherence-incoherence patterns known as spiral chimera states that form on a two-dimensional lattice of nonlocally coupled phase oscillators. For this purpose we employ the linearization of the Ott-Antonsen equation that is valid in the continuum limit and perform a detailed two-parameter stability analysis of a D4-symmetric chimera state, i.e., a four-core spiral state. We identify fold, Hopf and parity-breaking bifurcations as the main mechanisms whereby spiral chimeras can lose stability. Beyond these bifurcations we find new spatio-temporal patterns, in particular, quasiperiodic chimeras, D2-symmetric spiral chimeras as well as drifting states.