Kuramoto oscillatorsMulti-agent systemsSynchronizationIn this technical note we study the problem of exponential synchronization for one of the most popular models of coupled phase oscillators, the Kuramoto mode
In this work, we propose and investigate the implementation of an oscillator-based architecture, which can be used to carry out pattern recognition tasks, and which is tailored to the specificities of nanotechnologies. This scheme relies on a weak coupling between oscillators, and does not require...
The regression model proposed suggests that the average shortest path length is the network property most influencing the degree of synchronization of Kuramoto oscillators. Moreover, this model revealed to be very accurate, being the predicted and measured values of synchronization highly correlated. ...
Fourth and finally, we extend our analysis to multi-rate Kuramoto models consisting of second-order Kuramoto oscillators with inertia and viscous damping together with first-order Kuramoto oscillators with multiple time constants. We prove that the multi-rate Kuramoto model is locally topologically ...
As a theoretical paradigm, the Kuramoto model is usually used to investigate the phase synchronization among non-identical oscillators [2], [3], [4]. However, some real physical systems that display synchronized phenomenon (e.g. the coupled double planar pendulums, the two-state quantum system...
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In another study [64], the authors have reported chimera states in time-varying links of a network formed from two coupled populations of Kuramoto oscillators. To quantify what solitary states mean in our system model, we work with a metric called "cross-correlation" coef- ficient [65]. ...
In this paper we will prove the exponential convergence of the Kuramoto oscillators on networks through the Lojasiewicz exponent 1/2. The rest of this paper is organized as follows. In section 2, we present the power grid model and state our main result. In section 3, we give some back...
exponentialstabilizationKuramotooscillatorsmulti-agentsystemssynchronizationIn this technical note we study the problem of exponential synchronization for one of the most popular models of coupled phase oscillators, the Kuramoto model. We consider the special case of finite oscillators with distinct, bounded ...
The rest part of this paper is organized as follows. Firstly, in Section 2, we introduce preliminaries and model formulation. Secondly, in Section 3, our main results are obtained. Thirdly, in Section 4, theoretical results are applied to second-order Kuramoto oscillators. Since then, a numeri...