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A system reservoir model, where the associated reservoir is modulated by an external colored random force, is proposed to study the transport of an overdamped Brownian particle in a periodic potential. We then derive the analytical…

软凝聚态物质 · 物理学 2009-01-01 Jyotipratim Ray Chaudhuri , Suman Kumar Banik , Sudip Chattopadhyay , Pinaki Chaudhury

We study a system of two-mode stochastic oscillators coupled through their collective output. As a function of a relevant parameter four qualitatively distinct regimes of collective behavior are observed. In an extended region of the…

统计力学 · 物理学 2009-11-07 A. Nikitin , Z. Neda , T. Vicsek

We propose a model for the motion of a single active particle in a heterogeneous environment where the heterogeneity may arise due to the crowding, conformational fluctuations and/or slow rearrangement of the surroundings. Describing the…

统计力学 · 物理学 2022-03-04 Koushik Goswami , Rajarshi Chakrabarti

Using transport theory to model central Au + Au collisions in the energy region of 20 - 110 MeV/u, at impact parameters b <= 5 fm, we predict a measurable impact of spinoidal instability as the collective expansion sets in with energy. Two…

核理论 · 物理学 2020-12-18 Pawel Danielewicz , Hao Lin , Jirina R. Stone , Yoritaka Iwata

The aim of this work is to study the effect of diffusion on the stability of the equilibria in a general two-components reaction-diffusion system with Neumann boundary conditions in the space of continuous functions. As by product, we…

偏微分方程分析 · 数学 2023-12-19 Francisco J. Vielma-Leal , Miguel A. D. R. Palma , Miguel Montenegro-Concha

We study the movement of the living organism in a band form towards the presence of chemical substrates based on a system of partial differential evolution equations. We incorporate Einstein's method of Brownian motion to deduce the…

偏微分方程分析 · 数学 2023-10-10 Rahnuma Islam , Akif Ibragimov

Deciding whether and where a system of parametrized ordinary differential equations displays bistability, that is, has at least two asymptotically stable steady states for some choice of parameters, is a hard problem. For systems modeling…

分子网络 · 定量生物学 2020-08-31 Angélica Torres , Elisenda Feliu

We are concerned with random ordinary differential equations (RODEs). Our main question of interest is how uncertainties in system parameters propagate through the possibly highly nonlinear dynamical system and affect the system's…

动力系统 · 数学 2021-08-30 Christian Kuehn , Kerstin Lux

This study makes the first attempt to use the 2/3-order fractional Laplacian modeling of enhanced diffusing movements of random turbulent particle resulting from nonlinear inertial interactions. A combined effect of the inertial…

混沌动力学 · 物理学 2007-05-23 Wen Chen

In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

统计力学 · 物理学 2009-10-31 Dirk Helbing

We study the problem of parameter estimation for the homogenization limit of multiscale systems involving fractional dynamics. In the case of stochastic multiscale systems driven by Brownian motion, it has been shown that in order for the…

We discuss what the presently collected data tell us about the mechanism of multifragmentation by comparing the results of two different models, which assume or show an opposite reaction scenario, with the recent high statistics $4\pi$…

核理论 · 物理学 2009-11-06 R. Nebauer , J. Aichelin

We study the response of one dimensional diffusive systems, consisting of particles interacting via symmetric or asymmetric exclusion, to time-periodic driving from two reservoirs coupled to the ends. The dynamical response of the system…

统计力学 · 物理学 2011-03-23 Urna Basu , Debasish Chaudhuri , P. K. Mohanty

This paper is devoted to investigate the pattern formation of a volume-filling chemotaxis model with logistic cell growth. We first apply the local stability analysis to establish sufficient conditions of destabilization for uniform…

偏微分方程分析 · 数学 2016-11-22 Yazhou Han , Zhongfang Li , Jicheng Tao , Manjun Ma

Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-periodic orbits, or even chaos. In this paper, an algorithm for…

动力系统 · 数学 2018-11-27 Yanfei Du , Ben Niu , Yuxiao Guo , Junjie Wei

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

概率论 · 数学 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

Multimodal sentiment analysis aims to extract and integrate semantic information collected from multiple modalities to recognize the expressed emotions and sentiment in multimodal data. This research area's major concern lies in developing…

人工智能 · 计算机科学 2021-08-31 Wei Han , Hui Chen , Alexander Gelbukh , Amir Zadeh , Louis-philippe Morency , Soujanya Poria

We investigate a typical aerofoil section under dynamic stall conditions, the structural model is linear and the aerodynamic loading is represented by the Leishman-Beddoes semi-empirical dynamic stall model. The loads given by this model…

流体动力学 · 物理学 2013-05-28 Luca Magri , Ugo Galvanetto

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and…

核理论 · 物理学 2017-11-27 P. Napolitani , M. Colonna

In this paper, dynamical systems theory and bifurcation theory are applied to investi- gate the rich dynamical behaviours observed in three simple disease models. The 2- and 3-dimensional models we investigate have arisen in previous…

动力系统 · 数学 2015-04-22 Wenjing Zhang , Pei Yu , Lindi M. Wahl