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This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Claudio Pereti , Duccio Fanelli

Synchronization processes in populations of identical networked oscillators are in the focus of intense studies in physical, biological, technological and social systems. Here we analyze the stability of the synchronization of a network of…

We present a method to design distributed generation and demand control schemes for primary frequency regulation in power networks that guarantee asymptotic stability and ensure fairness of allocation. We impose a passivity condition on net…

Optimization and Control · Mathematics 2016-02-10 Andreas Kasis , Eoin Devane , Ioannis Lestas

In this paper, we present an algorithm for optimizing synchronizability of complex dynamical networks. Based on some network properties, rewirings, i.e. eliminating an edge and creating a new edge elsewhere, are performed iteratively…

Physics and Society · Physics 2008-12-31 Ali Ajdari Rad , Mahdi Jalili , Martin Hasler

The reduced level of system inertia in low-carbon power grids increases the need for alternative frequency services. However, simultaneously optimising the provision of these services in the scheduling process, subject to significant…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

In this paper, we study how to determine concurrent transmissions and the transmission power level of each link to maximize spectrum efficiency and minimize energy consumption in a wireless ad hoc network. The optimal joint transmission…

Networking and Internet Architecture · Computer Science 2017-06-20 Kamal Rahimi Malekshan , Weihua Zhuang

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti

Ensuring the frequency stability of electric grids with increasing renewable resources is a key problem in power system operations. In recent years, a number of advanced controllers have been designed to optimize frequency control. These…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Wenqi Cui , Guanya Shi , Yuanyuan Shi , Baosen Zhang

We investigate the stability of synchronization in networks of dynamical systems with strongly delayed connections. We obtain strict conditions for synchronization of periodic and equilibrium solutions. In particular, we show the existence…

Dynamical Systems · Mathematics 2017-11-10 Daniel M. N. Maia , Elbert E. N. Macau , Tiago Pereira , Serhiy Yanchuk

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in…

The reliable operation of large-scale electric power networks is increasingly challenging, particularly with the integration of stochastic renewable generation. In this work, we address the problem of minimizing network transients by…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Gerald Ogbonna , David Bindel , Lindsay C. Anderson

How to determine the vector of power supplies of a stochastic power system for the next short horizon, such that the probability is less than a prespecified value that any phase-angle difference of a power line of the power network exits…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

Synchronization is an emergent and fundamental phenomenon in nature and engineered systems. Understanding the stability of a synchronized phenomenon is crucial for ensuring functionality in various complex systems. The stability of the…

Adaptation and Self-Organizing Systems · Physics 2025-03-17 Suman Acharyya , Priodyuti Pradhan , Chandrakala Meena

In the context of renewable energies, wind energy appears as a sustainable alternative to address current environmental and energy challenges. This work studies the synchronization and stability of a network of wind turbines subjected to…

In this paper, we study the problem of synchronization with stochastic interaction among network components. The network components dynamics is nonlinear and modeled in Lure form with linear stochastic interaction among network components.…

Optimization and Control · Mathematics 2015-05-25 Amit Diwadkar , Umesh Vaidya

For general networks of pulse-coupled oscillators, including regular, random, and more complex networks, we develop an exact stability analysis of synchronous states. As opposed to conventional stability analysis, here stability is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Timme , Fred Wolf , Theo Geisel

Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

Adaptation and Self-Organizing Systems · Physics 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

This paper presents an integration study for a power electronic-based fast-frequency response technology, an asynchronous grid connection operating as an aggregator for behindthe-meter resources and distributed generators. Both technical…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Felix Wald , Amir Sajadi , Barry Mather , Giovanni De Carne

The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Sanjiv K. Dwivedi , Murilo S. Baptista , Sarika Jalan