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Many biological regulatory systems process signals out of steady state and respond with a physiological delay. A simple model of regulation which respects these features shows how the ability of a delayed output to transmit information is…

分子网络 · 定量生物学 2013-08-13 Francesca Mancini , Chris H. Wiggins , Matteo Marsili , Aleksandra M. Walczak

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

偏微分方程分析 · 数学 2019-08-06 Eric Forgoston , Richard O. Moore

In the past the study of reaction-diffusion systems has greatly contributed to our understanding of the behavior of many-body systems far from equilibrium. In this paper we aim at characterizing the properties of diffusion limited reactions…

统计力学 · 物理学 2015-05-14 Sven Dorosz , Michel Pleimling

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

经典物理 · 物理学 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

Dissipative structures are generally observed when a system relaxes from a far from equilibrium state. To address the reverse question given by the title, we investigate the relaxation process in a closed chemical reaction-diffusion system…

斑图形成与孤子 · 物理学 2007-05-23 Akinori Awazu , Kunihiko Kaneko

The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environment-the input-as reflected in a measure of programmability.…

计算机科学中的逻辑 · 计算机科学 2012-11-26 Hector Zenil

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

统计力学 · 物理学 2007-11-06 Ajay Patwardhan

In various neurological disorders spatio-temporal excitation patterns constitute examples of excitable behavior emerging from pathological pathways. During migraine, seizure, and stroke an initially localized pathological state can…

斑图形成与孤子 · 物理学 2007-09-27 Markus A. Dahlem , Felix M. Schneider , Eckehard Schoell

Yet often neglected, dynamical interdependencies between concomitant contagion processes can alter their intrinsic equilibria and bifurcations. A particular case of interest for disease control is the emergence of explosive transitions in…

物理与社会 · 物理学 2023-12-04 Santiago Lamata-Otín , Jesús Gómez-Gardeñes , David Soriano-Paños

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

系统与控制 · 计算机科学 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

The possibility that evolutionary forces -- together with a few fundamental factors such as thermodynamic constraints, specific computational features enabling information processing, and ecological processes -- might constrain the logic of…

生物物理 · 物理学 2025-12-30 Manlio De Domenico

We examine the transport behaviour of non-interacting particles in a simple channel billiard, at equilibrium and in the presence of an external field. The channel walls are constructed from straight line-segments. We observe a sensitive…

统计力学 · 物理学 2007-05-23 O. G. Jepps , L. Rondoni

If the duration of the input pulse resonantly interacting with a system is comparable or smaller than the time required for the system to achieve the steady state, transient effects become important. For complex systems, a quantitative…

光学 · 物理学 2020-04-23 Michael I. Tribelsky , Andrey E. Miroshnichenko

A continuously measured quantum system with multiple jump channels gives rise to a stochastic process described by random jump times and random emitted symbols, representing each jump channel. While much is known about the waiting time…

量子物理 · 物理学 2023-06-21 Gabriel T. Landi

We show that the correlation and entanglement dynamics of spin systems can be understood in terms of propagation of spin waves. This gives a simple, physical explanation of the behaviour seen in a number of recent works, in which a…

量子物理 · 物理学 2009-11-13 T. S. Cubitt , J. I. Cirac

We study combinatorial structures arising from finite-time transition probabilities of the Totally Asymmetric Simple Exclusion Process with open boundary conditions. While much of the existing combinatorial theory regarding the TASEP…

统计力学 · 物理学 2026-05-29 Lorenzo Vito Dal Zovo

We propose a method of classifying the operation of a system into finitely many modes. Each mode has its own objectives for the system's behaviour and its own mathematical models and algorithms designed to accomplish its objectives. A…

计算机科学中的逻辑 · 计算机科学 2021-07-14 Edwin Beggs , John V. Tucker

We show that oscillations are excited in a complex system under the influence of the external force, if the parameters of the system experience rapid change due to the changes in its internal structure. This excitation is collision-like and…

经典物理 · 物理学 2007-05-23 Michael Gedalin

Communicating transactions is a form of distributed, non-isolated transactions which provides a simple construct for building concurrent systems. In this paper we develop a logical framework to express properties of the observable behaviour…

计算机科学中的逻辑 · 计算机科学 2018-01-15 Vasileios Koutavas , Maciej Gazda , Matthew Hennessy

We describe systems using Kauffman and similar networks. They are directed funct ioning networks consisting of finite number of nodes with finite number of discr ete states evaluated in synchronous mode of discrete time. In this paper we…

无序系统与神经网络 · 物理学 2009-11-13 Andrzej Gecow