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On Synchronization of Kuramoto Oscillators
Proceedings of the 44th IEEE Conference on Decision and Control, 2006Synchronization is a key concept to the under-standing of self-organization phenomena occurring in coupled oscillators of the dissipative type. In this paper we study one of the most representative models of coupled phase oscillators, the Kuramoto model.
Nikhil Chopra, Mark W. Spong
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Kuramoto-like model of noisy oscillators
2017 European Conference on Circuit Theory and Design (ECCTD), 2017The Kuramoto model is a paradigm to describe the dynamics of nonlinear oscillators under the influence of external perturbations or couplings. It is based on the idea to reduce the state equations to a scalar differential equation, that defines the time evolution for the phase of the oscillator.
BONNIN, MICHELE +2 more
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Synchronization of Kuramoto Oscillators: A Regional Stability Framework
IEEE Transactions on Automatic Control, 2020We develop a novel regional stability analysis framework based on the proposed region-parametrized Lyapunov function to study the synchronization of Kuramoto oscillators. A new synchronization definition is introduced and characterized by frequency boundedness and phase cohesiveness, the latter of which requires phase angles of any two connected nodes ...
Lijun Zhu 0001, David J. Hill 0001
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BIFURCATIONS IN A FREQUENCY-WEIGHTED KURAMOTO OSCILLATORS NETWORK
International Journal of Bifurcation and Chaos, 2012This paper focuses on the origin of rich dynamics in a frequency-weighted Kuramoto-oscillator network, which embeds the periodical activity patterns of human beings to understand the collective behaviorial dynamics in human population. We present analytical results of the dynamics of the model by reducing the N-dimensional system to solvable low ...
Hanqing Wang, Xiang Li 0010
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Topological bifurcations in networks of proximity Kuramoto oscillators
2015 IEEE International Symposium on Circuits and Systems (ISCAS), 2015In this paper, we present a numerical study on a modified Kuramoto model, in which the oscillators are coupled only if in mutual proximity. In particular, we show that the onset of phase locking is associated to the phenomenon of topological bifurcation.
DE LELLIS, PIETRO +3 more
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Topology Control of Networks of Proximity Kuramoto Oscillators
2018 European Control Conference (ECC), 2018In this paper, we propose a decentralized strategy to control the topology of Kuramoto oscillators coupled via a proximity rule. In particular, the proposed control law is capable of steering the oscillators' dynamics so that a desired steady-state topology is achieved.
De Lellis, Pietro +3 more
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Averaging and Cluster Synchronization of Kuramoto Oscillators
2021 European Control Conference (ECC), 2021Rui Kato, Hideaki Ishii
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Complete synchronization of Kuramoto oscillators
Journal of Physics A: Mathematical and Theoretical, 2011Kuramoto oscillator networks represent a standard model of synchronization analysis. Extensive studies have shown that static interactions can only bring about a partial synchronization (phase locking). This paper investigates the complete synchronization, where the oscillator outputs follow exactly a common trajectory.
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Bistability of patterns of synchrony in Kuramoto oscillators with inertia
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016We study the co-existence of stable patterns of synchrony in two coupled populations of identical Kuramoto oscillators with inertia. The two populations have different sizes and can split into two clusters where the oscillators synchronize within a cluster while there is a phase shift between the dynamics of the two clusters.
Belykh, Igor V. +2 more
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Phase coalescence in a population of heterogeneous Kuramoto oscillators
Chaos, 2021Punit Parmananda +2 more
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