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The Kuramoto model captures various synchronization phenomena in biological and man-made systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from…

Dynamical Systems · Mathematics 2011-05-06 Florian Dorfler , Francesco Bullo

An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

Physics and Society · Physics 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa

The concept of device-to-Device (D2D) communication as an underlay coexistence with cellular networks gains many advantages of improving system performance. In this paper, we model such a two-layer heterogenous network based on stochastic…

Networking and Internet Architecture · Computer Science 2013-07-22 Yanbo Ma , Yuan Liu , Meixia Tao

We study the synchronization of oscillators with inertias and phase shifts, namely the second-order Kuramoto-Sakaguchi model. Using the self-consistent method, we find that the effect of inertia is the introduction of effective phase…

Adaptation and Self-Organizing Systems · Physics 2020-12-29 Jian Gao , Konstantinos Efstathiou

The distributed coordination problem of multi-agent systems is addressed in this paper under the assumption of intermittent communication between agents in the presence of time-varying communication delays. Specifically, we consider the…

Optimization and Control · Mathematics 2016-09-20 Abdelkader Abdessameud , Ilia G. Polushin , Abdelhamid Tayebi

Coupled oscillator networks show a complex interrelations between topological characteristics of the network and the nonlinear stability of single nodes with respect to large but realistic perturbations. We extend previous results on these…

Chaotic Dynamics · Physics 2017-04-05 Jan Nitzbon , Paul Schultz , Jobst Heitzig , Jürgen Kurths , Frank Hellmann

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

This paper considers a device-to-device (D2D) underlaid cellular network where an uplink cellular user communicates with the base station while multiple direct D2D links share the uplink spectrum. This paper proposes a random network model…

Information Theory · Computer Science 2013-11-21 Namyoon Lee , Xingqin Lin , Jeffrey G. Andrews , Robert W. Heath

We study the Kuramoto model on complex networks, in which natural frequencies of phase oscillators and the vertex degrees are correlated. Using the annealed network approximation and numerical simulations we explore a special case in which…

Disordered Systems and Neural Networks · Physics 2013-03-14 B. C. Coutinho , A. V. Goltsev , S. N. Dorogovtsev , J. F. F. Mendes

For power grid operations, a large body of research focuses on using generation redispatching, load shedding or demand side management flexibilities. However, a less costly and potentially more flexible option would be grid topology…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Antoine Marot , Benjamin Donnot , Camilo Romero , Luca Veyrin-Forrer , Marvin Lerousseau , Balthazar Donon , Isabelle Guyon

Phase reduction is a powerful technique in the study of nonlinear oscillatory systems. Under certain assumptions, it allows us to describe each multidimensional oscillator by a single phase variable, giving rise to simple phase models such…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Iván León , Riccardo Muolo , Shigefumi Hata , Hiroya Nakao

In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold…

Physics and Society · Physics 2015-10-28 R. K. Singh , Trilochan Bagarti

Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previous studies on synchronization within multilayer networks…

Adaptation and Self-Organizing Systems · Physics 2024-07-16 Palash Kumar Pal , Md Sayeed Anwar , Matjaz Perc , Dibakar Ghosh

In this paper, we study the distributed control of networked cyber-physical systems when a much more energy-efficient distributed communication management strategy is proposed to solve the well-studied consensus problem. In contrast to the…

Systems and Control · Computer Science 2016-09-14 Yongcan Cao , Eduardo Pasiliao

With increased attention on grid-forming inverters as a power system stabilizing device during periods of high shares of inverter-based resource operations, there is a present need for a transparent and rigorous investigation of the…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Rick Wallace Kenyon , Amirhossein Sajadi , Matt Bossart , Andy Hoke , Bri-Mathias Hodge

This paper addresses the distributed optimal frequency control of power systems considering a network-preserving model with nonlinear power flows and excitation voltage dynamics. Salient features of the proposed distributed control strategy…

Systems and Control · Computer Science 2018-02-14 Zhaojian Wang , Feng Liu , John Z. F. Pang , Steven Low , Shengwei Mei

We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time…

Physics and Society · Physics 2016-08-16 Alessandro Scirè , Idán Tuval , Víctor M. Eguíluz

In this study, we present a general framework for comparing two dynamical processes that describe the synchronization of oscillators coupled through networks of the same size. We introduce a measure of dissimilarity defined in terms of a…

Statistical Mechanics · Physics 2024-04-03 Alejandro P. Riascos

We study synchronization of Kuramoto oscillators in strongly modular networks in which the structure of the network inside each community is averaged. We find that the dynamics of the interacting communities can be described as an ensemble…

Adaptation and Self-Organizing Systems · Physics 2012-06-19 Per Sebastian Skardal , Juan G. Restrepo

We investigate in depth the synchronization of coupled oscillators on top of complex networks with different degrees of heterogeneity within the context of the Kuramoto model. In a previous paper [Phys. Rev. Lett. 98, 034101 (2007)], we…

Statistical Mechanics · Physics 2008-01-29 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas