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A subthreshold signal is transmitted through a channel and may be detected when some noise -- with known structure and proportional to some level -- is added to the data. There is an optimal noise level, called stochastic resonance, that…

统计理论 · 数学 2007-06-13 Stefano M. Iacus

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

适应与自组织系统 · 物理学 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

信息论 · 计算机科学 2012-05-07 Serdar Yüksel

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

动力系统 · 数学 2019-02-25 Elena Braverman , Alexandra Rodkina

The effect of multiplicative white noise on the resonance capture in non-isochronous systems with time-decaying pumping is investigated. It is assumed that the intensity of perturbations decays with time, and its frequency is asymptotically…

动力系统 · 数学 2025-03-11 Oskar A. Sultanov

Ultrafast disordering observed after photo-excitation challenges the conventional picture of photo-induced transitions where symmetry-breaking takes place along a single collective coordinate. We propose that key spectroscopic signatures of…

强关联电子 · 物理学 2025-07-31 Francesco Valiera , Antonio Picano , Martin Eckstein

The occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with emphasis on the analytical formulation of the problem as well as a possible…

统计力学 · 物理学 2021-03-16 F. Naha Nzoupe , Alain M. Dikande

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is…

无序系统与神经网络 · 物理学 2019-01-09 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

The inverse stochastic resonance (ISR) phenomenon consists in an unexpected depression in the response of a system under external noise, e.g., as observed in the behavior of the mean-firing rate in some pacemaker neurons in the presence of…

统计力学 · 物理学 2018-11-01 Joaquín J. Torres , Muhammet Uzuntarla , J. Marro

We consider a 2-dimensional stochastic differential equation in polar coordinates depending on several parameters. We show that if these parameters belong to a specific regime then the deterministic system explodes in finite time, but the…

动力系统 · 数学 2022-06-17 Matti Leimbach , Jonathan C. Mattingly , Michael Scheutzow

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing, the height of the two barriers, one for each path,…

概率论 · 数学 2018-03-05 Tommy Liu

The stochastic resonance phenomenon has been studied experimentally and theoretically for a state-of-art metal-oxide memristive device based on yttria-stabilized zirconium dioxide and tantalum pentoxide, which exhibits bipolar filamentary…

Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including cell-fate decision in developmental processes as well as genesis and progression of cancers. While various attempts have…

统计力学 · 物理学 2017-06-28 Ying Tang , Ruoshi Yuan , Gaowei Wang , Xiaomei Zhu , Ping Ao

We exploit the knowledge of the nonequilibrium potential in a model for the modulated class A laser. We analyse both, the deterministic and the stochastic dynamics of such a system in terms of the Lyapunov potential. Furthermore, we analyse…

统计力学 · 物理学 2018-07-04 C. Mayol , R. Toral , H. S. Wio

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

混沌动力学 · 物理学 2007-05-23 Changsong Zhou , C. -H. Lai

We report on noise-induced-spin-ordering in a collective quasipaticle system: spinor stochastic resonance. Synergetic interplay of a polarization-modulated signal and a polarization-noise allows us to switch coherently between the two…

介观与纳米尺度物理 · 物理学 2015-05-20 H. Abbaspour , S. Trebaol , F. Morier-Genoud , M. T. Portella-Oberli , B. Deveaud

We have analyzed the interplay between an externally added noise and the intrinsic noise of systems that relax fast towards a stationary state, and found that increasing the intensity of the external noise can reduce the total noise of the…

凝聚态物理 · 物理学 2009-11-07 J. M. G. Vilar , J. M. Rubi

We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of…

混沌动力学 · 物理学 2009-11-11 V. M. Gandhimathi , S. Rajasekar , J. Kurths

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

适应与自组织系统 · 物理学 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

We study the mechanism of stochastic resonance in a two dimensional Landau Ginzburg equation perturbed by a white noise. We shortly review how to renormalize the equation in order to avoid ultraviolet divergences. Next we show that the…

混沌动力学 · 物理学 2009-11-10 Roberto Benzi , Alfonso Sutera