Results 21 to 30 of about 1,307 (176)
On the critical coupling strength for Kuramoto oscillators [PDF]
Proceedings of the 2011 American Control Conference, 2011 The celebrated Kuramoto model captures various synchronization phenomena in biological and man-made dynamical systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from incoherency to synchronization occurs. This paper features three contributions.
Florian Dörfler, Francesco Bullo
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Earthquake sequencing: chimera states with Kuramoto model dynamics on directed graphs [PDF]
Nonlinear Processes in Geophysics, 2015 Earthquake sequencing studies allow us to investigate empirical relationships among spatio-temporal parameters describing the complexity of earthquake properties.
K. Vasudevan, M. Cavers, A. Ware
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Emulating the local Kuramoto model with an injection-locked photonic crystal laser array
Scientific Reports, 2021 The Kuramoto model is a mathematical model for describing the collective synchronization phenomena of coupled oscillators. We theoretically demonstrate that an array of coupled photonic crystal lasers emulates the Kuramoto model with non-delayed nearest ...
Naotomo Takemura +3 more
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Kuramoto Model with Delay: The Role of the Frequency Distribution
Mathematics, 2023 The Kuramoto model is a classical model used for the describing of synchronization in populations of oscillatory units. In the present paper we study the Kuramoto model with delay with a focus on the distribution of the oscillators’ frequencies.
Vladimir V. Klinshov +1 more
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Pattern selection in a ring of Kuramoto oscillators [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2019 Emergence of generalized synchronization patterns in a ring of identical and locally coupled Kuramoto-type rotators are investigated by different methods. These approaches offer a useful visual picture for understanding the complexity of the dynamics in the high dimensional state-space of this system.
Károly Dénes +2 more
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Influence of Gaussian noise and Levy noise on the phase dynamics of the ensemble of Kuramoto-like oscillators of first and second order [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to determine the stability threshold of the dynamic modes of the ensemble of phase Kuramoto-like oscillators, describing the behavior of a simple power grid model with a ring topology, under the external influence of Gaussian
Arinushkin, Pavel Alekseevich +2 more
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Time after time - circadian clocks through the lens of oscillator theory. [PDF]
FEBS LettOscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Del Olmo M, Ector C, Herzel H.
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Equilibria in Kuramoto Oscillator Networks: An Algebraic Approach
SIAM Journal on Applied Dynamical Systems, 2023 To appear in SIAM Journal on Applied Dynamical Systems (SIADS)
Tung T. Nguyen +5 more
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Frontiers in Physics, 2022 In this paper, we study the finite-time synchronization problem of a Kuramoto-oscillator network with a pacemaker. By constructing a cyber-physical system (CPS), the finite-time phase agreement and frequency synchronization of the network are explored ...
Pengchun Rao, Xiufeng Guo
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Gluing Kuramoto coupled oscillators networks [PDF]
2007 46th IEEE Conference on Decision and Control, 2007 In this work we prove that the problem of almost global synchronization of the Kuramoto model of sinusoidally symmetric coupled oscillators with a given topology could be reduced to the analysis of the blocks of the underlying interconnection graph.
Eduardo Alberto Canale, Pablo Monzón
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