Isotropy of angular frequencies and weak chimeras with broken symmetry

DOI10.1007/s00332-016-9345-2zbMath1383.34057arXiv1512.01321OpenAlexW3101940296WikidataQ41941159 ScholiaQ41941159MaRDI QIDQ683953

Christian Bick

Publication date: 9 February 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01321

zbMATH Keywords

symmetryoscillator networksphase oscillatorsasymptotic average frequenciesweak chimera

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Rotation numbers and vectors (37E45) Synchronization of solutions to ordinary differential equations (34D06)

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The mathematics behind chimera states, Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review, Chaos in generically coupled phase oscillator networks with nonpairwise interactions, Chimera states in two populations with heterogeneous phase-lag, Variety of rotation modes in a small chain of coupled pendulums, Chimera-like states in structured heterogeneous networks, Chaos in Kuramoto oscillator networks, Heteroclinic dynamics of localized frequency synchrony: heteroclinic cycles for small populations, Heteroclinic dynamics of localized frequency synchrony: stability of heteroclinic cycles and networks, Multi-headed loop chimera states in coupled oscillators

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