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Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2168-9
Abstract: We present and analyze a nonabelian version of the Kuramoto system, which we call the Quantum Kuramoto system. We study the stability of several classes of special solutions to this system, and show that for…
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Keywords:
quantum kuramoto;
kuramoto;
synchronization stability;
system ... See more keywords
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Published in 2018 at "Chaos"
DOI: 10.1063/1.5041444
Abstract: Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupling scheme, where both coupling strengths and phase lags…
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Keywords:
networks chaos;
oscillator networks;
kuramoto oscillator;
kuramoto ... See more keywords
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Published in 2019 at "Chaos"
DOI: 10.1063/1.5084063
Abstract: The Kuramoto model is an archetypal model for studying synchronization in groups of nonidentical oscillators. Each oscillator is imbued with its own personal inherent driving frequency and experiences attractive coupling forces toward all the other…
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Keywords:
critical coupling;
coupling;
approach;
kuramoto ... See more keywords
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Published in 2019 at "Chaos"
DOI: 10.1063/1.5118941
Abstract: The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in sets of coupled agents. Instead of considering interactions given…
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Keywords:
order;
kuramoto model;
higher order;
order coupling ... See more keywords
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Published in 2022 at "Chaos"
DOI: 10.1063/5.0108672
Abstract: The Kuramoto model describes the synchronization of coupled oscillators that have different natural frequencies. Among the many generalizations of the original model, Kuramoto and Sakaguchi (KS) proposed a frustrated version that resulted in dynamic behavior…
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Keywords:
kuramoto;
matrix coupling;
model;
order parameter ... See more keywords
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Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/accce4
Abstract: We present an improved and more accurate numerical scheme for a generalization of the Kuramoto model of coupled phase oscillators to the three-dimensional space. The present numerical scheme relies crucially on our observation that the…
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Keywords:
kuramoto;
kuramoto model;
numerical scheme;
scheme ... See more keywords
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Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032201
Abstract: We present a generalization of the Kuramoto phase oscillator model in which phases advance in discrete phase increments through Poisson processes, rendering both intrinsic oscillations and coupling inherently stochastic. We study the effects of phase…
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Keywords:
phase;
oscillators discrete;
discrete phase;
kuramoto oscillators ... See more keywords
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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.107201
Abstract: Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. Here, we address this fundamental question in the context of Kuramoto-Sakaguchi networks of rotators…
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Keywords:
order coupling;
kuramoto;
cyclops states;
higher order ... See more keywords
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Published in 2020 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2019.2940987
Abstract: In this article, we are concerned with the synchronization problem of Kuramoto oscillators under the sampled-data updating law. This article is motivated by the needs of synchronization of Kuramoto oscillators in the presence of periodic…
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Keywords:
sampled data;
kuramoto;
synchronization;
updating law ... See more keywords
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Published in 2022 at "Frontiers in Computational Neuroscience"
DOI: 10.3389/fncom.2022.729556
Abstract: Organized patterns of system-wide neural activity adapt fluently within the brain to adjust behavioral performance to environmental demands. In major depressive disorder (MD), markedly different co-activation patterns across the brain emerge from a rather similar…
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Keywords:
kuramoto;
brain;
intrinsic brain;
brain networks ... See more keywords