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Populations of globally coupled identical maps subject to additive, independent noise are studied in the regimes of strong coupling. Contrary to each noisy population element, the mean field dynamics undergoes qualitative changes when the…

统计力学 · 物理学 2007-05-23 Silvia De Monte , Francesco d'Ovidio , Erik Mosekilde

A general formalism is developed to construct a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are therefore internal to the system and not externally specified. For…

统计力学 · 物理学 2014-09-15 Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

斑图形成与孤子 · 物理学 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

Self-organization in natural and engineered systems causes the emergence of ordered spatio-temporal motifs. In presence of diffusive species, Turing theory has been widely used to understand the formation of such patterns on continuous…

统计力学 · 物理学 2025-10-22 Marie Dorchain , Riccardo Muolo , Timoteo Carletti

Turing patterns are stationary, wave-like structures that emerge from the nonequilibrium assembly of reactive and diffusive components. While they are foundational in biophysics, their classical formulation relies on a single characteristic…

软凝聚态物质 · 物理学 2026-01-30 Siamak Mirfendereski , Ankur Gupta

The counterintuitive emergence of order from noise is a central phenomenon in science, ranging from pattern formation and synchronization to order-by-disorder in frustrated systems. While large-scale spatial self-organization induced by…

软凝聚态物质 · 物理学 2026-02-02 Satyam Anand , Guanming Zhang , Stefano Martiniani

Wave motion in a continuous elastic rod with a periodically attached inertial-amplification mechanism is investigated. The mechanism has properties similar to an "inerter" typically used in vehicle suspensions, however here it is…

其他凝聚态物理 · 物理学 2021-09-01 Niels M. M. Frandsen , Osama R. Bilal , Jakob S. Jensen , Mahmoud I. Hussein

We exhibit a resonance mechanism of amplification of density perturbations in inflationary mo-dels, using a minimal set of ingredients (an effective cosmological constant, a scalar field minimally coupled to the gravitational field and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 H. P. de Oliveira , I. Damiao Soares

We describe a form of memory exhibited by extended excitable systems driven by stochastic fluctuations. Under such conditions, the system self-organizes into a state characterized by power-law correlations thus retaining long-term memory of…

adap-org · 物理学 2009-10-31 Dante R. Chialvo , Guillermo A. Cecchi , Marcelo O. Magnasco

In complex networked systems theory, an important question is how to evaluate the system robustness to external perturbations. With this task in mind, I investigate the propagation of noise in multi-layer networked systems. I find that, for…

适应与自组织系统 · 物理学 2022-07-15 Melvyn Tyloo

We consider the response of a dynamical system driven by external adiabatic fluctuations. Based on the `adiabatic following approximation' we have made a systematic separation of time-scales to carry out an expansion in $\alpha |\mu|^{-1}$,…

统计力学 · 物理学 2009-10-31 S. K. Banik , J. R. Chaudhuri , D. S. Ray

Non-reciprocal systems can be thought of as disobeying Newtons third law - an action does not cause an equal and opposite reaction. In recent years there has been a dramatic rise in interest towards such systems. On a fundamental level,…

统计力学 · 物理学 2024-12-06 Sergei Shmakov , Glasha Osipycheva , Peter B. Littlewood

We discuss intrinsic mechanisms of nonequilibrium excess noise in superconducting devices and transition edge sensors. In particular, we present an overview of fluctuation-driven contributions to the current noise in the vicinity of the…

超导电性 · 物理学 2023-08-25 Juhun Kwak , Emil Pellett , Elio J. König , Alex Levchenko

We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a…

偏微分方程分析 · 数学 2020-03-31 Richard C. Kraaij , Alexandre Lazarescu , Christian Maes , Mark A. Peletier

Exerting fluctuations is a part of our daily life: traffic noise, heartbeat, opinion poll, currency exchange rate, electrical current, chemical reactions - they all permanently fluctuate. One of the most important questions is why the…

物理与社会 · 物理学 2016-09-08 Maria K. Koleva

We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur…

斑图形成与孤子 · 物理学 2009-11-07 Roman O. Grigoriev , Andreas Handel

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

动力系统 · 数学 2016-09-07 M. -P. Zorzano , L. Vazquez

We report on novel Brownian, yet non-Gaussian diffusion, in which the mean square displacement of the particle grows linearly with time, the probability density for the particle spreading is Gaussian-like, however, the probability density…

统计力学 · 物理学 2020-10-28 K. Białas , J. Łuczka , P. Hänggi , J. Spiechowicz

It is becoming more and more clear that complex networks present remarkable large fluctuations. These fluctuations may manifest differently according to the given model. In this paper we re-consider hidden variable models which turn out to…

无序系统与神经网络 · 物理学 2014-02-19 Massimo Ostilli

We are surrounded by spatio-temporal patterns resulting from the interaction of the numerous basic units constituting natural or human-made systems. In presence of diffusive-like coupling, Turing theory has been largely applied to explain…

斑图形成与孤子 · 物理学 2025-09-15 Marie Dorchain , S. Nirmala Jenifer , Timoteo Carletti