Fixed points and stability in the two-network frustrated Kuramoto model

DOI10.1016/J.PHYSA.2015.11.021zbMath1400.34056arXiv1511.05230OpenAlexW2175481231WikidataQ58164481 ScholiaQ58164481MaRDI QIDQ1619167

Mathew L. Zuparic, Alexander C. Kalloniatis

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05230

zbMATH Keywords

networkoscillatorfrustrationsynchronisationKuramoto

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Synchronisation of networked Kuramoto oscillators under stable Lévy noise ⋮ Synchronisation under shocks: the Lévy Kuramoto model ⋮ Analytic solution to space-fractional Fokker–Planck equations for tempered-stable Lévy distributions with spatially linear, time-dependent drift ⋮ Adversarial decision strategies in multiple network phased oscillators: the Blue-Green-Red Kuramoto-Sakaguchi model ⋮ Gaussian noise and the two-network frustrated Kuramoto model ⋮ Fisher information and synchronisation transitions: a case-study of a finite size multi-network Kuramoto-Sakaguchi system

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• Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case
• α-Kuramoto partitions from the frustrated Kuramoto model generalise equitable partitions
• Proceedings of the sixth ACM SIGPLAN international conference on Functional programming

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