Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling

DOI10.1088/1361-6544/ab5cd8zbMath1431.34048OpenAlexW2995341468MaRDI QIDQ5207512

O. E. Omel'chenko

Publication date: 2 January 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab5cd8

zbMATH Keywords

stabilitytravelling wavescontinuationforced symmetry breakingchimera statesOtt-Antonsen equationnonlocally coupled phase oscillators

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability theory for ordinary differential equations (34D99)

Related Items (4)

Periodic orbits in the Ott–Antonsen manifold ⋮ Moving bumps in theta neuron networks ⋮ Mathematical framework for breathing Chimera states ⋮ Relay interlayer synchronisation: invariance and stability conditions

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