Dynamics of the Kuramoto-Sakaguchi oscillator network with asymmetric order parameter
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Publication:4622742
DOI10.1063/1.5055758zbMath1406.34063arXiv1811.04427OpenAlexW3105688023WikidataQ91308912 ScholiaQ91308912MaRDI QIDQ4622742
Renato E. Mirollo, Jan R. Engelbrecht, Bo-Lun Chen
Publication date: 13 February 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.04427
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
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- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Averaging of globally coupled oscillators
- Constants of motion for superconducting Josephson arrays
- On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds
- Synchronization analysis of Kuramoto oscillators
- Non-Abelian Kuramoto models and synchronization
- Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization
- Classification of attractors for systems of identical coupled Kuramoto oscillators
- Dynamics of globally coupled oscillators: Progress and perspectives
- Star-type oscillatory networks with generic Kuramoto-type coupling: A model for “Japanese drums synchrony”
- The WS transform for the Kuramoto model with distributed amplitudes, phase lag and time delay
- Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere
- Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
- Remarks on the complete synchronization of Kuramoto oscillators
- Hyperbolic geometry of Kuramoto oscillator networks