Equation 3 is the well-known Kuramoto model. On the right side of this equation, there is a coupling term , which 'forces' the s-th oscillator to be phase-locked, or oscillate in phase, with the r-th oscillator. In fact, when the coupling strength is large enough, all oscillators wil...
In this paper, we propose oscillatory network based on Kuramoto phase oscillator for image segmentation where each allocated feature is encoded by ensemble of synchronous oscillators like in biologically plausible systems. The proposed model is designed to perform color segmentation and object segmentation...
forthemodeltoachievecompletephasesynchronization,theinfluenceofthe couplingstrengthonthesynchronization,theconvergencerateoftheoscillator undercertainconditions.However,thespecificcharacterizationoftheequilibria andthestabilityanalysisarenotcomplete,sothispaperwillconsiderstabilityof fixedpointsofKMmodelandrelatedproblems.Themai...
We show that the parallel interconnection of DC/AC inverters equipped with conventional droop controllers is precisely described by the Kuramoto model of coupled phase oscillators. This novel description, together with results from the theory of coupled oscillators, allows us to characterize the behavior...
For original Kuramoto models with nonidentical oscillators, it is impossible to realize complete phase synchronization. However, this paper reveals that complete phase synchronization can be achieved for a large class of high-dimensional Kuramoto models with nonidentical oscillators. Under the topology of ...
The Kuramoto model7,8, originally formulated to simplify the Winfree’s coupled oscillator model for the circadian rhythms of plants and animals9, remarkably generalizes to explain phase synchronization phenomena in these examples and many more10,11. Transitions to or out of synchronization as a ...
上述模型可以抽象为如下基于图引导的二阶与一阶Kuramoto模型：miiiaijsin(ji)i1N (1)(2)iiaijsin(ji)i1 N 最近对于系统(1)和(2),文献[F.Dorfler,M.ChertkovandF.Bullo.SynchronizationinComplexOscillatorNetworksandSmartGrids...
Li and X. Xue, Formation of phase-locked states in a population of locally interacting Kuramoto oscillators, J. Differential Equations 255 (2013) 3053–3070. 23. S.-Y. Ha and M. Slemrod, Flocking dynamics of singularly perturbed oscillator chain and the Cucker–Smale system, J. Dynam. ...
Solar Phys (2014) 289:4309–4333DOI 10.1007/s11207-014-0568-9Kuramoto Model of Nonlinear Coupled Oscillatorsas a Way for Understanding Phase Synchronization:Application to Solar and Geomagnetic IndicesElena M. Blanter ·Jean-Louis Le Mouël ·Mikhail G. Shnirman ·Vincent CourtillotReceived: 14 ...
These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a ...