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This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based update rule driven by both cooperative and antagonistic…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Swati Priya , Twinkle Tripathy

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

Statistics Theory · Mathematics 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik

An artificial neural network architecture, parameterization networks, is proposed for simulating extrapolated dynamics beyond observed data in dynamical systems. Parameterization networks are used to ensure the long term integrity of…

Chaotic Dynamics · Physics 2019-03-21 James P. L. Tan

Previously we showed how delay communication between globally coupled self-propelled agents causes new spatio-temporal patterns to arise when the delay coupling is fixed among all agents \cite{Forgoston08}. In this paper, we show how…

Pattern Formation and Solitons · Physics 2012-04-23 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Networks of dynamical systems play an important role in various domains and have motivated many studies on the control and analysis of linear dynamical networks. For linear network models considered in these studies, it is typically…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Shengling Shi , Zhiyong Sun , Bart De Schutter

The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alexander Mozeika , David Saad

Boolean networks are widely used to model biological regulatory networks and study their dynamics. Classical semantics, such as the asynchronous semantics, do not always accurately capture transient or asymptotic behaviors observed in…

Discrete Mathematics · Computer Science 2026-04-06 Laure de Chancel , Brigitte Mossé , Aurélien Naldi , Élisabeth Remy

We study a multi-agent output regulation problem, where not all agents have access to the exosystem's dynamics. We propose a fully distributed controller that solves the problem for linear, heterogeneous, and uncertain agent dynamics as…

Systems and Control · Computer Science 2019-12-10 Satoshi Kawamura , Kai Cai , Masako Kishida

We analyse a model of fixed in-degree Random Boolean Networks in which the fraction of input-receiving nodes is controlled by a parameter gamma. We investigate analytically and numerically the dynamics of graphs under a parallel XOR…

Statistical Mechanics · Physics 2009-09-03 L. Ciandrini , C. Maffi , A. Motta , B. Bassetti , M. Cosentino Lagomarsino

A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

We realize autonomous Boolean networks by using logic gates in their autonomous mode-of-operation on a field-programmable gate array. This allows us to implement time-continuous systems with complex dynamical behaviors that can be…

Adaptation and Self-Organizing Systems · Physics 2013-12-16 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Spreading on networks is influenced by a number of factors including different parts of the inter-event time distribution (IETD), the topology of the network and non-stationarity. In order to understand the role of these factors we study…

Physics and Society · Physics 2015-06-19 Dávid X. Horváth , János Kertész

Spreading dynamics has been considered to take place in temporal networks, where temporal interaction patterns between nodes show non-Poissonian bursty nature. The effects of inhomogeneous interevent times (IETs) on the spreading have been…

Physics and Society · Physics 2018-10-18 Takayuki Hiraoka , Hang-Hyun Jo

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

Physics and Society · Physics 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat

Consider a large Boolean network with a feed forward structure. Given a probability distribution on the inputs, can one find, possibly small, collections of input nodes that determine the states of most other nodes in the network? To answer…

Information Theory · Computer Science 2013-05-23 Reinhard Heckel , Steffen Schober , Martin Bossert

Boolean threshold networks have recently been proposed as useful tools to model the dynamics of genetic regulatory networks, and have been successfully applied to describe the cell cycles of \textit{S. cerevisiae} and \textit{S. pombe}.…

Chaotic Dynamics · Physics 2010-11-18 Jorge G. T. Zañudo , Maximino Aldana , Gustavo Martínez-Mekler

Boolean networks have been the object of much attention, especially since S. Kauffman proposed them in the 1960's as models for gene regulatory networks. These systems are characterized by being defined on a Boolean state space and by…

Molecular Networks · Quantitative Biology 2007-11-21 German A. Enciso , Winfried Just

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

To simplify the analysis of Boolean networks, a reduction in the number of components is often considered. A popular reduction method consists in eliminating components that are not autoregulated, using variable substitution. In this work,…

Discrete Mathematics · Computer Science 2024-03-27 Robert Schwieger , Elisa Tonello

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao