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This paper investigates a new class of linear multi-agent network systems, in which nodes are coupled by dynamic edges in the sense that each edge has a dynamic system attached as well. The outputs of the edge dynamic systems form the…

Dynamical Systems · Mathematics 2016-02-09 Ji Xiang , Yanjun Li , David J. Hill

This work examines the problem of topology inference over discrete-time nonlinear stochastic networked dynamical systems. The goal is to recover the underlying digraph linking the network agents, from observations of their state-evolution.…

Multiagent Systems · Computer Science 2019-06-24 Augusto Santos , Vincenzo Matta , Ali H. Sayed

We analyze in detail the subtle yet critical differences between the structural controllability and observability of the triplet $(A,B,C)$ in the two cases that this is viewed as a linear dynamical network of interconnected nodes or as a a…

Dynamical Systems · Mathematics 2019-01-18 Francesco Lo Iudice , Francesco Sorrentino , Franco Garofalo

We study the problem of patrolling the nodes of a network collaboratively by a team of mobile agents, such that each node of the network is visited by at least one agent once in every $I(n)$ time units, with the objective of minimizing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Shantanu Das , Giuseppe Antonio Di Luna , Leszek A. Gasieniec

Many cellular networks rely on the regulated transport of their components to transduce extracellular information into precise intracellular signals. The dynamics of these networks is typically described in terms of compartmentalized…

Subcellular Processes · Quantitative Biology 2011-11-18 Jose M. G. Vilar , Leonor Saiz

Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these…

Cell polarization is a critical process that separates molecular species into two distinct regions in prokaryotic and eukaryotic cells, guiding biological processes such as cell division and cell differentiation. Although several underlying…

Molecular Networks · Quantitative Biology 2025-01-28 Yixuan Chen , Guoye Guan , Lei-Han Tang , Chao Tang

We consider the observability model in networks with arbitrary topologies. We introduce a system of coupled nonlinear equations, valid under the locally tree-like ansatz, to describe the size of the largest observable cluster as a function…

Physics and Society · Physics 2016-09-28 Yang Yang , Filippo Radicchi

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 V. Botella-Soler , P. Glendinning

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

When a founder cell and its progeny divide with incomplete cytokinesis, a network forms in which each intercellular bridge corresponds to a past mitotic event. Networks built in this manner are required for gamete production in many…

Adaptation and Self-Organizing Systems · Physics 2023-05-24 Matthew Smart , Stanislav Shvartsman , Hayden Nunley

The problem on how to determine the observability of Boolean control networks (BCNs) has been open for five years already. In this paper, we propose a unified approach to determine all the four types of observability of BCNs in the…

Optimization and Control · Mathematics 2015-12-10 Kuize Zhang , Lijun Zhang

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Observability and controllability are essential concepts to the design of predictive observer models and feedback controllers of networked systems. For example, noncontrollable mathematical models of real systems have subspaces that…

Neurons and Cognition · Quantitative Biology 2018-04-18 Andrew J. Whalen , Sean N. Brennan , Timothy D. Sauer , Steven J. Schiff

The behavior of the network and its stability are governed by both dynamics of individual nodes as well as their topological interconnections. Attention mechanism as an integral part of neural network models was initially designed for…

Machine Learning · Computer Science 2022-12-20 Nooshin Bahador , Milad Lankarany

Decentralized coordination is one of the fundamental challenges for societies and organizations. While extensively explored from a variety of perspectives, one issue which has received limited attention is human coordination in the presence…

Social and Information Networks · Computer Science 2018-08-06 Chen Hajaj , Sixie Yu , Zlatko Joveski , Yevgeniy Vorobeychik

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

In statistical network analysis it is common to observe so called interaction data. Such data is characterized by actors forming the vertices and interacting along edges of the network, where edges are randomly formed and dissolved over the…

Methodology · Statistics 2024-07-15 Alexander Kreiss , Enno Mammen , Wolfgang Polonik

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle