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Strongly opinionated minorities can have a dramatic impact on the opinion dynamics of a large population. Two factions of inflexible minorities, polarised into two competing opinions, could lead the entire population to persistent…

Biological Physics · Physics 2023-07-26 Andreagiovanni Reina , Raina Zakir , Giulia De Masi , Eliseo Ferrante

The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be…

Adaptation and Self-Organizing Systems · Physics 2022-03-31 Cong Liu , Chong-Yang Wang , Zhi-Xi Wu , Jian-Yue Guan

Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically unlimited complexity. Recent empirical studies, however,…

Neurons and Cognition · Quantitative Biology 2012-02-02 Andrea K. Barreiro , Julijana Gjorgjieva , Fred Rieke , Eric Shea-Brown

We propose a structure-preserving model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix…

Systems and Control · Electrical Eng. & Systems 2023-05-15 Hancheng Min , Enrique Mallada

This paper investigates the communication strategy for second-order multi-agent systems with nonlinear dynamics. To save the scarce resources of communication channels, a novel event-triggered communication mechanism is designed without…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Tao Li , Quan Qiu , Chunjiang Zhao

This paper studies parametric bootstrap methods for network data, with the goal of quantifying the uncertainty of network statistics of interest. While existing network resampling methods primarily focus on count statistics under…

Methodology · Statistics 2026-05-29 Zhixuan Shao , Can M. Le

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

Adaptation and Self-Organizing Systems · Physics 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

This paper studies opinion dynamics in multilayer (social) networks. Extending a single-layer model, we formulate opinion updates as a synchronous coordination game in which agents minimize a local cost to stay close to their neighbors'…

Computer Science and Game Theory · Computer Science 2026-05-21 Ruey-An Shiu , Parinaz Naghizadeh

This paper focuses on the consensus and formation problems of multiagent systems under unknown persistent disturbances. Specifically, we propose a novel method that combines an existing consensus (or formation) algorithm with a new…

Optimization and Control · Mathematics 2013-10-15 Tansel Yucelen , Magnus Egerstedt

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

In networked systems, the interplay between the dynamics of individual subsystems and their network interactions has been found to generate multistability in various contexts. Despite its ubiquity, the specific mechanisms and ingredients…

Dynamical Systems · Mathematics 2024-11-22 Kalel L. Rossi , Everton S. Medeiros , Peter Ashwin , Ulrike Feudel

Swarms of large numbers of agents appear in many biological and engineering fields. Dynamic bi-stability of co-existing spatio-temporal patterns has been observed in many models of large population swarms. However, many reduced models for…

Pattern Formation and Solitons · Physics 2015-06-17 Luis Mier-y-Teran-Romero , Ira B. Schwartz

For networks of pulse-coupled oscillators with complex connectivity, we demonstrate that in the presence of coupling heterogeneity precisely timed periodic firing patterns replace the state of global synchrony that exists in homogenous…

Disordered Systems and Neural Networks · Physics 2009-11-10 Michael Denker , Marc Timme , Markus Diesmann , Fred Wolf , Theo Geisel

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

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

This article considers consensus problem of multiagent systems with double integrator dynamics under nonuniform sampling. It is considered the maximum sampling time can be selected arbitrarily. Moreover, the communication graph can change…

Dynamical Systems · Mathematics 2022-12-07 Ufuk Sevim , Leyla Goren-Sumer

Interactions among units in complex systems occur in a specific sequential order thus affecting the flow of information, the propagation of diseases, and general dynamical processes. We investigate the Laplacian spectrum of temporal…

Physics and Society · Physics 2013-11-04 Naoki Masuda , Konstantin Klemm , Víctor M. Eguíluz

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

We study the popular distributed consensus method over networks composed of a number of densely connected clusters with a sparse connection between them. In these cluster networks, the method often constitutes two-time-scale dynamics, where…

Optimization and Control · Mathematics 2022-09-14 Amit Dutta , Almuatazbellah M. Boker , Thinh T. Doan