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This paper presents a thorough evaluation of a bistable system versus a matched filter in detecting bipolar pulse signals. The detectability of the bistable system can be optimized by adding noise, i.e. the stochastic resonance (SR)…

Soft Condensed Matter · Physics 2007-05-23 Fabing Duan , Derek Abbott , Qisheng Gao

The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an overview of the main stochastic mechanisms able to generate spatial patterns. These mechanisms involve: (i) a deterministic local dynamics…

Statistical Mechanics · Physics 2012-05-14 Stefania Scarsoglio , Francesco Laio , Paolo D'Odorico , Luca Ridolfi

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified…

Statistical Mechanics · Physics 2017-05-03 Johannes Falk , Marc Mendler , Barbara Drossel

Adding noise to a sensory signal generally decreases human performance. However noise can improve performance too, due to a process called stochastic resonance (SR). This paradoxical effect may be exploited in psychophysical experiments, to…

Neurons and Cognition · Quantitative Biology 2017-11-15 Jeroen J. A. van Boxtel

Noise induced Brownian dynamics in underdamped medium is studied numerically to understand the firing time of excitable systems. By considering Brownian particles that move in underdamped medium, we study how the first arrival time behaves…

Statistical Mechanics · Physics 2018-10-10 Solomon F. Duki , Mesfin A. Taye

Stochastic resonance (SR) is a well known phenomenon in dynamical systems. It consists of the amplification and optimization of the response of a system assisted by stochastic noise. Here we carry out the first experimental study of SR in…

Biological Physics · Physics 2012-12-12 K. Hayashi , S. de Lorenzo , M. Manosas , J. M. Huguet , F. Ritort

We discuss the role of spatial correlations of the noise in the array enhanced stochastic resonance. We show numerically that the noises with negative correlations between different sites lead to significantly larger values of the…

Statistical Mechanics · Physics 2007-05-23 P. F. Gora

In oscillatory reaction-diffusion systems, time-delay feedback can lead to the instability of uniform oscillations with respect to formation of standing waves. Here, we investigate how the presence of additive, Gaussian white noise can…

Statistical Mechanics · Physics 2016-08-17 Michael Stich , Amit K Chattopadhyay

Ultra-high frequency linear frequency modulation (UHF-LFM) signal, as a kind of typical non-stationary signal, has been widely used in microwave radar and other fields, with advantages such as long transmission distance, strong…

Adaptation and Self-Organizing Systems · Physics 2024-05-14 Cong Wang , Zhongqiu Wang , Jianhua Yang , Miguel A. F. Sanjuán , Gong Tao , Zhen Shan , Mengen Shen

The combined influence of oscillatory excitations and multiplicative stochastic perturbations of white noise type on isochronous systems in the plane is investigated. It is assumed that the intensity of perturbations decays with time and…

Dynamical Systems · Mathematics 2025-05-01 Oskar A. Sultanov

We examine the effects of pure additive noise on spatially extended systems with quadratic nonlinearities. We develop a general multiscale theory for such systems and apply it to the Kuramoto-Sivashinsky equation as a case study. We first…

Statistical Mechanics · Physics 2012-09-20 M. Pradas , G. A. Pavliotis , S. Kalliadasis , D. T. Papageorgiou , D. Tseluiko

The phenomenological linear response theory of non-Markovian Stochastic Resonance (SR) is put forward for stationary two-state renewal processes. In terms of a derivation of a non-Markov regression theorem we evaluate the characteristic…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk , Peter Hanggi

We study thermal instability in NbN superconducting stripline resonators. The system exhibits extreme nonlinearity near a bifurcation, which separates a monostable zone and an astable one. The lifetime of the metastable state, which is…

Superconductivity · Physics 2013-05-29 Eran Segev , Baleegh Abdo , Oleg Shtempluck , Eyal Buks

Constriction-based Josephson weak-links display a thermal bi-stability between two states exhibiting zero and finite voltages. This manifests in experiments either as hysteresis in weak-links current voltage characteristics or as random…

Stationary solutions to a Fokker-Planck equation corresponding to a noisy logistic equation with correlated Gaussian white noises are constructed. Stationary distributions exist even if the corresponding deterministic system displays an…

Statistical Mechanics · Physics 2007-05-23 P. F. Gora

We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

Chaotic Dynamics · Physics 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

We show that a magnetic dipole in a shear flow under the action of an oscillating magnetic field displays stochastic resonance in the linear response regime. To this end, we compute the classical quantifiers of stochastic resonance, i.e.…

Soft Condensed Matter · Physics 2016-08-31 T. Alarcon , A. Perez-Madrid

The consequences of discrete particle noise for a system possessing a possibly unstable collective mode are discussed. It is argued that a zonostrophic instability (of homogeneous turbulence to the formation of zonal flows) occurs just…

Plasma Physics · Physics 2017-04-05 D. A. St-Onge , J. A. Krommes

We exploit nonlinearity in NbN superconducting stripline resonators, which is originated by local thermal instability, for studying stochastic resonance. As the resonators are driven into instability, small amplitude modulated (AM)…

Superconductivity · Physics 2009-11-11 Baleegh Abdo , Eran Arbel-Segev , Oleg Shtempluck , Eyal Buks
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