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The noise-flatness-induced hypersensitive transport of overdamped Brownian particles in a tilted ratchet system driven by multiplicative nonequilibrium three-level Markovian noise and additive white noise is considered. At low temperatures…

统计力学 · 物理学 2007-05-23 Romi Mankin , Astrid Haljas , Risto Tammelo , Dmitri Martila

Depinning transitions occur when a threshold force must be applied to drive an otherwise immobile system. For the depinning of colloidal particles from a corrugated landscape, we show how active noise due to self-propulsion impacts the…

软凝聚态物质 · 物理学 2024-12-10 Arthur V. Straube , Felix Höfling

We consider a generic class of gene circuits affected by nonlinear extrinsic noise. To address this nonlinearity we introduce a general perturbative methodology based on assuming timescale separation between noise and genes dynamics, with…

分子网络 · 定量生物学 2023-05-10 Gerardo Aquino , Andrea Rocco

The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable result in the onset of a quasi-deterministic limit cycle…

定量方法 · 定量生物学 2007-05-23 Cyrill B. Muratov , Eric Vanden-Eijnden , Weinan E

We report on the effect of spatially correlated noise on the velocities of self propelled particles. Correlations in the random forces acting on self propelled particles can induce directed collective motion, i.e. swarming. Even with…

软凝聚态物质 · 物理学 2022-12-21 Chunming Zheng , Ralf Tönjes

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening…

统计力学 · 物理学 2013-05-20 D. I. Russell , R. A. Blythe

We study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiking, noise-perturbed oscillations, or stochastic busting. We…

适应与自组织系统 · 物理学 2020-08-26 Igor Franović , Serhiy Yanchuk , Sebastian Eydam , Iva Bačić , Matthias Wolfrum

We consider the effect of Gaussian white noise on fast-slow dynamical systems with one fast and two slow variables, containing a folded-node singularity. In the absence of noise, these systems are known to display mixed-mode oscillations,…

动力系统 · 数学 2012-02-20 Nils Berglund , Barbara Gentz , Christian Kuehn

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

无序系统与神经网络 · 物理学 2007-05-23 Cristian Huepe , Maximino Aldana

Networks of interacting, communicating subsystems are common in many fields, from ecology, biology, epidemiology to engineering and robotics. In the presence of noise and uncertainty, inter- actions between the individual components can…

统计力学 · 物理学 2017-11-01 Ira B. Schwartz , Klimka Szwaykowska , Thomas W. Carr

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

统计力学 · 物理学 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

Considering a double-headed Brownian motor moving with both translational and rotational degrees of freedom, we investigate the directed transport properties of the system in a traveling-wave potential. It is found that the traveling wave…

生物物理 · 物理学 2021-03-18 W. X. Wu , C. P. Li , Y. L. Song , Y. R. Han , Z. G. Zheng

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at…

物理与社会 · 物理学 2015-09-14 Marina Diakonova , Victor M. Eguiluz , Maxi San Miguel

Here we study a noise induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show--using both, a theoretical approximation and numerical simulations-- that there is a shift of the transition as…

统计力学 · 物理学 2009-11-10 Horacio S. Wio , Raul Toral

The dynamics of well-mixed biological populations is usually studied by mean-field methods and weak-noise expansions. Similar methods have been applied also in spatially extended problems, relying on the fact that these populations are…

统计力学 · 物理学 2015-03-17 Luca Dall'Asta , Fabio Caccioli , Deborah Beghè

Communication is compositional if complex signals can be represented as a combination of simpler subparts. In this paper, we theoretically show that inductive biases on both the training framework and the data are needed to develop a…

机器学习 · 计算机科学 2024-04-04 Łukasz Kuciński , Tomasz Korbak , Paweł Kołodziej , Piotr Miłoś

We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After illustrating noise-induced turbulent states with numerical…

混沌动力学 · 物理学 2007-05-23 Yoji Kawamura , Hiroya Nakao , Yoshiki Kuramoto

We investigate a model where strong noise in a sub-population creates a metastable state in an otherwise unstable two-population system. The induced metastable state is vortex-like, and its persistence time grows exponentially with the…

统计力学 · 物理学 2013-05-29 Matthew Parker , Alex Kamenev , Baruch Meerson

We propose a comprehensive dynamical model for cooperative motion of self-propelled particles, e.g., flocking, by combining well-known elements such as velocity-alignment interactions, spatial interactions, and angular noise into a unified…

统计力学 · 物理学 2009-05-20 V. Dossetti , F. J. Sevilla , V. M. Kenkre

The motion of weakly inertial Brownian particles, transported by steady two-dimensional fluid flows, is investigated by means of asymptotic methods. We focus on the phenomenon of noise-induced separatrix crossing, which can force particles…

流体动力学 · 物理学 2019-05-08 Jean-Régis Angilella