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Topological States in the Kuramoto Model [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 10 pages, 7 ...
Timothy Ferguson
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Synchronization Properties of Trees in the Kuramoto Model [PDF]
SIAM Journal on Applied Dynamical Systems, 2013 We consider the Kuramoto model of coupled oscillators, specifically the case of tree networks, for which we prove a simple closed-form expression for the critical coupling. For several classes of tree, and for both uniform and Gaussian vertex frequency distributions, we provide tight closed form bounds and empirical expressions for the expected value ...
Richard Taylor
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Bifurcations in the Sakaguchi–Kuramoto model
Physica D: Nonlinear Phenomena, 2013Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Omel'chenko, Oleh, Wolfrum, Matthias
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CHAOTIC ATTRACTOR IN THE KURAMOTO MODEL
International Journal of Bifurcation and Chaos, 2005The Kuramoto model of globally coupled phase oscillators is an essentially nonlinear dynamical system with a rich dynamics including synchronization and chaos. We study the Kuramoto model from the standpoint of bifurcation and chaos theory of low-dimensional dynamical systems. We find a chaotic attractor in the four-dimensional Kuramoto model and study
Yuri L. Maistrenko +2 more
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Nonmonotonic critical threshold in the kuramoto model
Communications in Nonlinear Science and Numerical Simulation, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. F. de Oliveira, C. V. Abud
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AIP Conference Proceedings, 2022
In this work we treat local and small global existence results for Kuramoto-Sivashinsky model.
Georgiev V., Rastrelli M.
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In this work we treat local and small global existence results for Kuramoto-Sivashinsky model.
Georgiev V., Rastrelli M.
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Phase transitions in the Kuramoto model
Physical Review E, 2007We consider the Kuramoto model of phase oscillators with natural frequencies distributed according to a unimodal function with the plateau section in the middle representing the maximum and symmetric tails falling off predominantly as |omega-omega0|m, m>0, in the vicinity of the flat region.
Lasko, Basnarkov, Viktor, Urumov
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Journal of Statistical Mechanics: Theory and Experiment, 2018
Abstract In these notes, we provide a perspective on the theoretical framework built on the Kuramoto model, a paradigm in the study of synchronized behavior in coupled oscillator models. Following the original works of Kuramoto, we discuss in depth assumptions and analytical approaches in his theory and explain all the steps involved ...
da Fonseca, J. D., Abud, C. V.
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Abstract In these notes, we provide a perspective on the theoretical framework built on the Kuramoto model, a paradigm in the study of synchronized behavior in coupled oscillator models. Following the original works of Kuramoto, we discuss in depth assumptions and analytical approaches in his theory and explain all the steps involved ...
da Fonseca, J. D., Abud, C. V.
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Asymmetry in the Kuramoto model with nonidentical coupling
Physical Review E, 2023Synchronization and desynchronization of coupled oscillators appear to be the key property of many physical systems. It is believed that to predict a synchronization (or desynchronization) event, the knowledge on the exact structure of the oscillatory network is required.
M. Elaeva +3 more
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PHASE CHAOS IN THE DISCRETE KURAMOTO MODEL
International Journal of Bifurcation and Chaos, 2010The paper describes the appearance of a novel, high-dimensional chaotic regime, called phase chaos, in a time-discrete Kuramoto model of globally coupled phase oscillators. This type of chaos is observed at small and intermediate values of the coupling strength.
Volodymyr L. Maistrenko +3 more
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