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This paper gives a fresh look at network synchronization. Here we no longer analyze it from the view of mathematics, such as graph theory, while we probe into one from control theory. First, we analyze the synchronization region using the…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Jilie Zhang

Learning the relationships between various entities from time-series data is essential in many applications. Gaussian graphical models have been studied to infer these relationships. However, existing algorithms process data in a batch at a…

Machine Learning · Computer Science 2021-10-04 Tong Yao , Shreyas Sundaram

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear transfer functions and are excited by known external excitation signals and/or unknown noise signals. A…

Optimization and Control · Mathematics 2018-03-18 Julien M. Hendrickx , Michel Gevers , Alexandre S. Bazanella

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

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of…

Machine Learning · Computer Science 2017-02-20 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

We consider a dynamical network model in which two competitors have fixed and different states, and each normal agent adjusts its state according to a distributed consensus protocol. The state of each normal agent converges to a steady…

Physics and Society · Physics 2014-05-21 Jiuhua Zhao , Qipeng Liu , Xiaofan Wang

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

Over the last years, a great deal of attention has been focused on complex networked systems, characterized by intricate structure and dynamics. The latter has been often represented in terms of overall statistics (e.g. average and standard…

Data Analysis, Statistics and Probability · Physics 2011-09-15 Cesar H. Comin , João B. Bunoro , Matheus P. Viana , Luciano da F. Costa

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear time-invariant transfer functions and are possibly excited by known external excitation signals and/or…

Optimization and Control · Mathematics 2017-09-14 Alexandre S. Bazanella , Michel Gevers , Julien M. Hendrickx , Adriane Parraga

How do networks form and what is their ultimate topology? Most of the literature that addresses these questions assumes complete information: agents know in advance the value of linking to other agents, even with agents they have never met…

Social and Information Networks · Computer Science 2014-03-21 Yangbo Song , Mihaela van der Schaar

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

Collaboration is a fundamental and essential characteristic of many complex systems, ranging from ant colonies to human societies. Each component within a complex system interacts with others, even at a distance, to accomplish a given task.…

Multiagent Systems · Computer Science 2025-09-04 Mehdi Bakhshipoor , Yousef Azizi , Seyed Ehsan Nedaaee Oskoee

We propose a method to efficiently estimate the eigenvalues of any arbitrary (potentially weighted and/or directed) network of interacting dynamical agents from dynamical observations. These observations are discrete, temporal measurements…

Optimization and Control · Mathematics 2022-03-28 Mikhail Hayhoe , Francisco Barreras , Victor M. Preciado

In many real world networks agents are initially unsure of each other's qualities and must learn about each other over time via repeated interactions. This paper is the first to provide a methodology for studying the dynamics of such…

Economics · Quantitative Finance 2016-06-09 Simpson Zhang , Mihaela van der Schaar

Diverse collective dynamics emerge in dynamical systems interacting on top of complex network architectures. Along this line of research, temporal network has come out to be one of the most promising network platforms to investigate.…

Chaotic Dynamics · Physics 2020-08-18 Sayantan Nag Chowdhury , Soumen Majhi , Dibakar Ghosh

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

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

Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural patterns of the…

Physics and Society · Physics 2012-06-27 Nicola Perra , Bruno Gonçalves , Romualdo Pastor-Satorras , Alessandro Vespignani