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We propose two dynamical models with delay taking advantage of their complex dynamics for information processing tasks. The first model incorporates coupled delayed dynamics of multiple bits, which is shown to have desirable properties as…

chao-dyn · 物理学 2007-05-23 Toru Ohira

This paper presents a rigorous analytical model of traffic dynamics on a circular track, demonstrating the emergence of standing oscillations resulting from microscopic driver behaviour, delay responses, and proximity pressure. Without…

适应与自组织系统 · 物理学 2025-07-10 Craig S Wright

Conserved dynamical systems are generally considered to be critical. We study a class of critical routing models, equivalent to random maps, which can be solved rigorously in the thermodynamic limit. The information flow is conserved for…

适应与自组织系统 · 物理学 2013-01-10 Dimitrije Markovic , Andre Schuelein , Claudius Gros

In this paper, we consider a continuous-time model with discrete and dis-tributed delays to describe how two pieces of information interact in online social networks. Sufficient conditions are carried out to illustrate the stability of each…

动力系统 · 数学 2016-10-26 Jingli Ren , Fangzhi Yu

Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that Global Transfer Entropy, a general measure of information…

统计力学 · 物理学 2021-04-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

Feedback controlled ratchets are thermal rectifiers that use information on the state of the system to operate. We study the effects of time delays in the feedback for a protocol that performs an instantaneous maximization of the…

统计力学 · 物理学 2008-04-13 F. J. Cao , M. Feito

We consider a self-oscillator whose excitation parameter is varied. Frequency of the variation is much smaller then the natural frequency of the oscillator so that oscillations in the system are periodically excited and decay. Also a time…

适应与自组织系统 · 物理学 2020-11-10 Pavel V. Kuptsov , Sergey P. Kuznetsov

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

概率论 · 数学 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

适应与自组织系统 · 物理学 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present…

定量方法 · 定量生物学 2015-05-13 Radhakrishnan Nagarajan

Revolution dynamics is studied through a minimal Ising model with three main influences (fields): personal conservatism (power-law distributed), inter-personal and group pressure, and a global field incorporating peer-to-peer and mass…

物理与社会 · 物理学 2015-06-05 Alex Kindler , Sorin Solomon , Dietrich Stauffer

The optimal information feedback has a significant effect on many socioeconomic systems like stock market and traffic systems aiming to make full use of resources. In this paper, we studied dynamics of traffic flow with real-time…

数据分析、统计与概率 · 物理学 2009-09-29 Dong Chuan-Fei , Ma Xu , Wang Guan-Wen , Sun Xiao-Yan , Wang Bing-Hong

In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions. With respect to…

动力系统 · 数学 2007-05-23 Mihaela Neamtu , Dumitru Opris , Constantin Chilarescu

The understanding of complex systems has become a central issue because complex systems exist in a wide range of scientific disciplines. Time series are typical experimental results we have about complex systems. In the analysis of such…

The decay of a moving system is studied in case the system is initially prepared in a two-mass unstable quantum state. The survival probability $\mathcal{P}_p(t)$ is evaluated over short and long times in the reference frame where the…

量子物理 · 物理学 2018-10-17 Filippo Giraldi

With the emergence of autonomous vehicles, it is important to understand their impact on the transportation system. However, conventional traffic simulations are time-consuming. In this paper, we introduce an analytical traffic model for…

多智能体系统 · 计算机科学 2018-09-10 Changliu Liu , Mykel J. Kochenderfer

We investigate a driven, one-dimensional system of colloidal particles in a periodically currogated narrow channel subject to a time-delayed feedback control. Our goal is to identify conditions under which the control induces oscillatory,…

软凝聚态物质 · 物理学 2015-06-11 Ken Lichtner , Andrey Pototsky , Sabine H. L. Klapp

We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting point, is described by a Markov chain, which in the limit…

统计力学 · 物理学 2014-10-06 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

统计力学 · 物理学 2009-11-10 D. Huber , L. S. Tsimring

A ubiquitous building block of signaling pathways is a cycle of covalent modification (e.g., phosphorylation and dephosphorylation in MAPK cascades). Our paper explores the kind of information processing and filtering that can be…

分子网络 · 定量生物学 2015-05-13 Carlos Gomez-Uribe , George C. Verghese , Leonid A. Mirny