Synchronization behavior in a ternary phase model

DOI10.1063/1.5097237zbMath1416.34027arXiv1903.09930OpenAlexW3102226508WikidataQ91560023 ScholiaQ91560023MaRDI QIDQ5227586

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Publication date: 6 August 2019

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

Full work available at URL: https://arxiv.org/abs/1903.09930

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Traveling wave solutions (35C07) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

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• Chemical oscillations, waves, and turbulence
• Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
• Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators
• Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions
• Low dimensional behavior of large systems of globally coupled oscillators

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