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On a global level, ecological communities are being perturbed at an unprecedented rate by human activities and environmental instabilities. Yet, we understand little about what factors facilitate or impede long-term persistence of these…

Populations and Evolution · Quantitative Biology 2024-10-24 Johannes Nauta , Manlio De Domenico

The strategic selection of resources by selfish agents has long been a key area of research, with Resource Selection Games and Congestion Games serving as prominent examples. In these traditional frameworks, agents choose from a set of…

Computer Science and Game Theory · Computer Science 2025-05-13 Henri Zeiler

One of the most common approaches to the analysis of dynamic networks is through time-window aggregation. The resulting representation is a sequence of static networks, i.e. the snapshot graph. Despite this representation being widely used…

Social and Information Networks · Computer Science 2021-12-07 Alessandro Chiappori , Rémy Cazabet

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

We propose a family of models to study the evolution of ties in a network of interacting agents by reinforcement and penalization of their connections according to certain local laws of interaction. The family of stochastic dynamical…

Physics and Society · Physics 2016-06-01 Augusto Almeida Santos , Soummya Kar , Ramayya Krishnan , José M. F. Moura

This paper is devoted to deterministic consensus in synchronous dynamic networks with unidirectional links, which are under the control of an omniscient message adversary. Motivated by unpredictable node/system initialization times and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-06 Manfred Schwarz , Kyrill Winkler , Ulrich Schmid

Understanding which system structure can sustain stable dynamics is a fundamental step in the design and analysis of large scale dynamical systems. Towards this goal, we investigate here the structural stability of systems with a random…

Combinatorics · Mathematics 2020-03-26 Mohamed Ali Belabbas , Artur Kirkoryan

Synchronous dynamic systems are well-established models that have been used to capture a range of phenomena in networks, including opinion diffusion, spread of disease and product adoption. We study the three most notable problems in…

Data Structures and Algorithms · Computer Science 2023-12-15 Eduard Eiben , Robert Ganian , Thekla Hamm , Viktoriia Korchemna

This paper studies the relations among system parameters, uniqueness, and stability of equilibria, for kinetic systems given in the form of polynomial ODEs. Such models are commonly used to describe the dynamics of nonnegative systems, with…

Molecular Networks · Quantitative Biology 2016-11-14 Antonio A. Alonso , Gabor Szederkenyi

This work is concerned with interconnected networks with non-identical subsystems. We investigate the output consensus of the network where the dynamics are subject to external disturbance and/or reference input. For a network of…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Yongkang Su , Lanlan Su , Sei Zhen Khong

We examine the dynamical properties of a single-layer convolutional recurrent network with a smooth sigmoidal activation function, for small values of the inputs and when the convolution kernel is unitary, so all eigenvalues lie exactly at…

Statistical Mechanics · Physics 2024-05-24 Aditi Chandra , Marcelo O. Magnasco

We study the stability of the dynamics of a network of n neurons intercting linearly through a random gaussian matrix of excitatory and inhibitory type. Using the aproach developed in a previous paper we show some interesting properties of…

Mathematical Physics · Physics 2011-11-10 J. F. Feng , M. Shcherbina , B. Tirozzi

We determine stability and attractor properties of random Boolean genetic network models with canalyzing rules for a variety of architectures. For all power law, exponential, and flat in-degree distributions, we find that the networks are…

Molecular Networks · Quantitative Biology 2007-05-23 Stuart Kauffman , Carsten Peterson , Björn Samuelsson , Carl Troein

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

We revisit the dynamics of a prototypical model of balanced activity in networks of spiking neutrons. A detailed investigation of the thermodynamic limit for fixed density of connections (massive coupling) shows that, when inhibition…

Adaptation and Self-Organizing Systems · Physics 2018-09-03 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

MANET is a collection of mobile nodes operated by battery source with limited energy reservoir. The dynamic topology and absence of pre-existing infrastructure in MANET makes routing technique more thought-provoking. The arbitrary movement…

Networking and Internet Architecture · Computer Science 2017-05-15 Tanaya Roy , Sandip Roy

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

Optimization and Control · Mathematics 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

We study asynchronous dynamics in a network of interacting agents updating their binary states according to a time-varying threshold rule. Specifically, agents revise their state asynchronously by comparing the weighted average of the…

Computer Science and Game Theory · Computer Science 2023-02-01 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

We consider a discrete-time nonatomic routing game with variable demand and uncertain costs. Given a routing network with single origin and destination, the cost function of each edge depends on some uncertain persistent state parameter. At…

Theoretical Economics · Economics 2021-10-04 Emilien Macault , Marco Scarsini , Tristan Tomala