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This research investigates the intricate domain of synchronization problem among multiple agents operating within a dynamic fast switching network topology. We concentrate on cluster synchronization within coupled linear system under…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Ku Du , Yu Kang

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

Chaotic Dynamics · Physics 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

In this article, we consider a dynamic model of a three-phase power system including nonlinear generator dynamics, transmission line dynamics, and static nonlinear loads. We define a synchronous steady-state behavior which corresponds to…

Optimization and Control · Mathematics 2018-11-29 Dominic Groß , Catalin Arghir , Florian Dörfler

In this paper, we discuss distributed adaptive algorithms for synchronization of complex networks, consensus of multi-agents with or without pinning controller. The dynamics of individual node is governed by generalized QUAD condition. We…

Adaptation and Self-Organizing Systems · Physics 2020-07-30 Wenlian Lu , Xiwei Liu , Tianping Chen

A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phase…

Chaotic Dynamics · Physics 2018-11-26 Marco Faggian , Francesco Ginelli , Fernando Rosas , Zoran Levnajić

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. In the latter case, the ongoing transition to distributed…

Adaptation and Self-Organizing Systems · Physics 2018-11-29 Frank Hellmann , Paul Schultz , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Jürgen Kurths , Yuri Maistrenko

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

Chaotic Dynamics · Physics 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

Chaotic Dynamics · Physics 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

A distributed adaptive control strategy is developed for heterogeneous multiagent systems in nonlinear Brunovsky form with \({\pd}\)-dimensional $n^{\text{th}}$-order dynamics, operating under time-triggered switching communication…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Armel Koulong , Ali Pakniyat

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

We present a method to infer network connectivity from collective dynamics in networks of synchronizing phase oscillators. We study the long-term stationary response to temporally constant driving. For a given driving condition, measuring…

Disordered Systems and Neural Networks · Physics 2009-11-11 Marc Timme

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

In this paper, we consider the output synchronization problem for a network of heterogeneous diffusively-coupled nonlinear agents. Specifically, we show how the (non-identical) agents can be controlled in such a way that their outputs…

Optimization and Control · Mathematics 2013-03-13 A. Isidori , L. Marconi , G. Casadei

In this paper, we study cluster synchronization in networks of coupled non-identical dynamical systems. The vertices in the same cluster have the same dynamics of uncoupled node system but the uncoupled node systems in different clusters…

Dynamical Systems · Mathematics 2015-05-14 Wenlian Lu , Bo liu , Tianping Chen

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

Statistical Mechanics · Physics 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

A synchronization mechanism driven by annealed noise is studied for two replicas of a coupled-map lattice which exhibits stable chaos (SC), i.e. irregular behavior despite a negative Lyapunov spectrum. We show that the observed…

Statistical Mechanics · Physics 2007-05-23 F. Bagnoli , F. Cecconi

This paper studies global regulated state synchronization of homogeneous networks of non-introspective agents in presence of input saturation. We identify three classes of agent models which are neutrally stable, double-integrator, and…

Systems and Control · Electrical Eng. & Systems 2020-04-29 Zhenwei Liu , Donya Nojavanzadeh , Ali Saberi , Anton A. Stoorvogel

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

Pattern Formation and Solitons · Physics 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti