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We investigate how the response of coupled dynamical systems is modified due to a structural alteration of the interaction. The majority of the literature focuses on additive perturbations and symmetrical interaction networks. Here, we…

Disordered Systems and Neural Networks · Physics 2026-01-27 Melvyn Tyloo

The structure of communication networks is an important determinant of the capacity of teams, organizations and societies to solve policy, business and science problems. Yet, previous studies reached contradictory results about the…

Social and Information Networks · Computer Science 2016-10-24 Daniel Barkoczi , Mirta Galesic

We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two…

Chaotic Dynamics · Physics 2009-02-03 Marcelo Ponce , C. Masoller , Arturo C. Marti

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

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

The study of flocking in biological systems has identified conditions for self-organized collective behavior, inspiring the development of decentralized strategies to coordinate the dynamics of swarms of drones and other autonomous…

Disordered Systems and Neural Networks · Physics 2025-11-05 Arthur N. Montanari , Ana Elisa D. Barioni , Chao Duan , Adilson E. Motter

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

Accurate clock synchronization is required for collaborative operations among nodes across wireless networks. Compared with traditional layer-by-layer methods, cooperative network synchronization techniques lead to significant improvement…

Information Theory · Computer Science 2018-02-14 Yifeng Xiong , Nan Wu , Yuan Shen , Moe Z. Win

A network of coupled dynamical systems is represented by a graph whose vertices represent individual cells and whose edges represent couplings between cells. Motivated by the impact of synchronization results of the Kuramoto networks, we…

Dynamical Systems · Mathematics 2023-10-10 Tiago Amorim , Miriam Manoel

We analyze the accuracy of collective decision-making in socially connected populations, where agents update binary choices through local interactions on a network. Each agent receives a private signal that is biased -- even marginally --…

Methodology · Statistics 2025-04-29 Dan Braha , Marcus A. M. de Aguiar

The design of distributed autonomous systems often omits consideration of the underlying network dynamics. Recent works in multi-agent systems and swarm robotics alike have highlighted the impact that the interactions between agents have on…

Multiagent Systems · Computer Science 2023-06-05 Michael Crosscombe , Jonathan Lawry

The phenomena of synchronization and nontrivial collective behavior are studied in a model of coupled chaotic maps with random global coupling. The mean field of the system is coupled to a fraction of elements randomly chosen at any given…

Chaotic Dynamics · Physics 2009-11-11 O. Alvarez-Llamoza , K. Tucci , M. G. Cosenza , M. Pineda

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

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

Chaotic Dynamics · Physics 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

Social networks play an important role in analyzing the impact of individual-level interactions on societal or economic outcomes. We model interactive decision making for a community of individuals with different traits, represented by a…

Physics and Society · Physics 2022-08-09 Pengyu Liu , Jie Jian

The idea of a collective intelligence behind the complex natural structures built by organisms suggests that the organization of social networks is selected so as to optimize problem-solving competence at the group-level. Here we study the…

Social and Information Networks · Computer Science 2016-09-19 José F. Fontanari , Francisco A. Rodrigues

We analyze the synchronization dynamics of phase oscillators far from the synchronization manifold, including the onset of synchronization on scale-free networks with low and high clustering coefficients. We use normal coordinates and…

Disordered Systems and Neural Networks · Physics 2015-06-25 Patrick McGraw , Michael Menzinger

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Chai Wah Wu

We study networks with linear dynamics where the presence of symmetries of the pair (A,B) induces a partition of the network nodes in clusters and the matrix A is not restricted to be in Laplacian form. For these networks, an invariant…

Optimization and Control · Mathematics 2020-10-23 Francesco Lo Iudice , Anna Di Meglio , Fabio Della Rossa , Francesco Sorrentino