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Competition networks are formed via adversarial interactions between actors. The Dynamic Competition Hypothesis predicts that influential actors in competition networks should have a large number of common out-neighbors with many other…

社会与信息网络 · 计算机科学 2019-09-17 Anthony Bonato , Nicole Eikmeier , David F. Gleich , Rehan Malik

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

动力系统 · 数学 2019-08-19 Chulwook Park

Despite the diversity of materials designated as active matter, virtually all active systems undergo a form of dynamic arrest when crowding and activity compete, reminiscent of the dynamic arrest observed in colloidal and molecular fluids…

软凝聚态物质 · 物理学 2019-05-28 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

We consider the basic features of complex dynamic and control systems, including systems having hierarchical structure. Special attention is paid to the problems of design and synthesis of complex systems and control models, and to the…

计算工程、金融与科学 · 计算机科学 2008-12-25 Armen Bagdasaryan

We extend the notions of conditioned and controlled invariant spaces to linear dynamical systems over the max-plus or tropical semiring. We establish a duality theorem relating both notions, which we use to construct dynamic observers.…

最优化与控制 · 数学 2010-12-20 Michael Di Loreto , Stephane Gaubert , Ricardo D. Katz , Jean-Jacques Loiseau

An Adversarial Swarm model consists of two swarms that are interacting with each other in a competing manner. In the present study, an agent-based Adversarial swarm model is developed comprising of two competing swarms, the Attackers and…

适应与自组织系统 · 物理学 2021-05-28 Soham Gupta , John Baker

Relations between points in the phase space are central to the study of topological dynamical systems. Since many of these relations share common properties, it is natural to study them within a unified framework. To this end, we introduce…

动力系统 · 数学 2025-01-23 Udayan B. Darji , Felipe García-Ramos

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

统计力学 · 物理学 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

In this contribution we establish a dictionary between terms in two different areas in order to show that many of the topics studied are common ones - just with a different terminology. We further analyze the relations between the…

动力系统 · 数学 2020-03-04 Rocío Díaz Martín , Ivan Medri , Ursula Molter

This paper addresses questions regarding controllability for `generic parameter' dynamical systems, i.e. the question whether a dynamical system is `structurally controllable'. Unlike conventional methods that deal with structural…

最优化与控制 · 数学 2010-06-29 Madhu N. Belur , Sivaramakrishnan Sivasubramanian

Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

物理与社会 · 物理学 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

We study a random dynamical system such that one transformation is randomly selected from a family of transformations and then applied on each iteration. For such random dynamical systems, we consider estimates of absolutely continuous…

动力系统 · 数学 2023-03-20 Tomoki Inoue

We discuss the problems of modeling, control, and decision support in complex dynamic systems from a general system theoretic point of view. The main characteristics of complex systems and of system approach to complex system study are…

系统与控制 · 计算机科学 2013-12-30 Armen Bagdasaryan

Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs better (worse) than a used coherent system with respect to…

应用统计 · 统计学 2016-01-20 Nil Kamal Hazra , Asok K. Nanda

We consider the basic features of complex dynamical and control systems. Special attention is paid to the problems of synthesis of dynamical models of complex systems, construction of efficient control models, and to the development of…

计算工程、金融与科学 · 计算机科学 2009-07-03 Armen Bagdasaryan

We consider a stochastic many-body system where a source refills uniformly the empty sites of a hypercubic lattice, on which each particle is allowed to jump (symmetrically) onto neighboring vacant sites. In addition, there is a local {\it…

统计力学 · 物理学 2007-05-23 Mauro Mobilia

The paper considers some class of dynamical systems that called density systems. For such systems the derivative of quadratic function depends on so-called density function. The density function is used to set the properties of phase space,…

系统与控制 · 电气工程与系统科学 2023-04-12 Igor Furtat

We study the connections between network structure, opinion dynamics, and an adversary's power to artificially induce disagreements. We approach these questions by extending models of opinion formation in the social sciences to represent…

数据结构与算法 · 计算机科学 2020-07-14 Jason Gaitonde , Jon Kleinberg , Eva Tardos

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

物理与社会 · 物理学 2012-05-29 S. R. Souza , S. Goncalves

Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems…

计算机科学中的逻辑 · 计算机科学 2012-12-11 Baltasar Trancón y Widemann