Results 41 to 50 of about 1,307 (176)
Transition to collective oscillations in finite Kuramoto ensembles [PDF]
Physical Review E, 2018 11 pages, 8 figures, Editors' Suggestion ...
Peter, Franziska (Dr.) +1 more
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Stability of twisted states on lattices of Kuramoto oscillators [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 Real world systems comprised of coupled oscillators have the ability to exhibit spontaneous synchronization and other complex behaviors. The interplay between the underlying network topology and the emergent dynamics remains a rich area of investigation for both theory and experiment. In this work, we study lattices of coupled Kuramoto oscillators with
Monica Goebel +2 more
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Kuramoto Model for Excitation-Inhibition-Based Oscillations [PDF]
Physical Review Letters, 2018 The Kuramoto model (KM) is a theoretical paradigm for investigating the emergence of rhythmic activity in large populations of oscillators. A remarkable example of rhythmogenesis is the feedback loop between excitatory (E) and inhibitory (I) cells in large neuronal networks. Yet, although the EI-feedback mechanism plays a central role in the generation
Montbrió, Ernest +1 more
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Dynamics of oscillators globally coupled via two mean fields
Scientific Reports, 2017 Many studies of synchronization properties of coupled oscillators, based on the classical Kuramoto approach, focus on ensembles coupled via a mean field. Here we introduce a setup of Kuramoto-type phase oscillators coupled via two mean fields.
Xiyun Zhang +2 more
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Synchronization of heterogeneous Kuramoto oscillators with arbitrary topology [PDF]
2015 American Control Conference (ACC), 2015 We study synchronization of coupled Kuramoto oscillators with heterogeneous inherent frequencies and general underlying connectivity. We provide conditions on the coupling strength and the initial phases which guarantee the existence of a Positively Invariant Set (PIS) and lead to synchronization.
Andrey Gushchin +2 more
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Max-Cut via Kuramoto-Type Oscillators
SIAM Journal on Applied Dynamical Systems, 2023 We consider the Max-Cut problem. Let $G = (V,E)$ be a graph with adjacency matrix $(a_{ij})_{i,j=1}^{n}$. Burer, Monteiro & Zhang proposed to find, for $n$ angles $\left\{θ_1, θ_2, \dots, θ_n\right\} \subset [0, 2π]$, minima of the energy $$ f(θ_1, \dots, θ_n) = \sum_{i,j=1}^{n} a_{ij} \cos{(θ_i - θ_j)}$$ because configurations achieving a global ...
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Physical Review Research, 2021 We show that lattices of phase oscillators with random natural frequencies undergo a transition from a desynchronized to a synchronized state for dimensions ...
John P. Moroney, Paul R. Eastham
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Modeling Cell Energy Metabolism as Weighted Networks of Non-autonomous Oscillators
Frontiers in Physiology, 2021 Networks of oscillating processes are a common occurrence in living systems. This is as true as anywhere in the energy metabolism of individual cells. Exchanges of molecules and common regulation operate throughout the metabolic processes of glycolysis ...
Joe Rowland Adams, Aneta Stefanovska
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Matrix coupling and generalized frustration in Kuramoto oscillators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 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 of the order parameter, even when the average natural frequency of the oscillators is zero ...
Guilhermo L. Buzanello +2 more
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Harmonic Solution of Higher-Dimensional Second Order Kuramoto Oscillator Network
IEEE AccessObtaining the solution of Kuramoto oscillator model is an effective way to understand the mechanism behind the dynamical behaviors it represents. However, it is not an easy work to get, even the approximation solution for the second order Kuramoto ...
Jing Li, Zhenyao Li, Deqiang Gan, Hao Wu
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