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In this paper I will review some basic aspects of the mechanism of stochastic resonance. Stochastic resonance was first introduced as a possible mechanism to explain long term climatic variation. Since then, there have been many…

Chaotic Dynamics · Physics 2017-08-23 Roberto Benzi

The effects of perturbation of a weak periodic signal (WPS) assisted by noise or a high frequency signal (HFS) respectively on an excitable uni-junction transistor relaxation oscillator (UJT-RO) is presented here. When the perturbation by a…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Ajit Mahata , Md Nurujjaman , Utpal Deka

We observe the opto-mechanical multistability of a macroscopic torsion balance oscillator. The torsion oscillator forms the moving mirror of a hemi-spherical laser light cavity. When a laser beam is coupled into this cavity, the radiation…

Optics · Physics 2009-11-13 F. Mueller , S. Heugel , L. J. Wang

Inverse stochastic resonance comprises a nonlinear response of an oscillatory system to noise where the frequency of noise-perturbed oscillations becomes minimal at an intermediate noise level. We demonstrate two generic scenarios for…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Iva Bačić , Igor Franović

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

Pattern Formation and Solitons · Physics 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

We show that a dispersion of monodomain ferromagnetic particles in a solid phase exhibits stochastic resonance when a driven linearly polarized magnetic field is applied. By using an adiabatic approach, we calculate the power spectrum, the…

Condensed Matter · Physics 2009-10-28 A. Perez-Madrid , J. M. Rubi

The collective behaviour, in respect of stochastic resonance, has been studied in globally coupled oscillators (with fractional-order intrinsic and external damping), driven by a sinusoidal force which is either noise-free or…

Statistical Mechanics · Physics 2021-03-02 Vishwamittar

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

Machine Learning · Computer Science 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system's energy resonantly…

Pattern Formation and Solitons · Physics 2009-11-13 George Miloshevich , Ramaz Khomeriki , Stefano Ruffo

Noise is ubiquitous and unwanted in detecting weak signals, which would give rise to incorrect filtering frequency-band selection in signal filtering-based methods including fast kurtogram, teager energy operators and wavelet packet…

Applied Physics · Physics 2023-01-12 Zijian Qiao , Shuai Chen , Zhihui Lai , Shengtong Zhou , Miguel A. F. Sanjuan

In this paper we introduce a model which provides a new approach to the phenomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We derive the…

Probability · Mathematics 2007-05-23 Peter Imkeller , Ilya Pavlyukevich

Here, in order to study \textit{stochastic resonance} (SR) in a double-well potential when the noise source has a spectral density of the form $f^{-\kappa}$ with varying $\kappa$, we have extended a procedure, introduced by Kaulakys et al…

Statistical Mechanics · Physics 2009-11-11 Miguel A. Fuentes , Horacio S. Wio

We demonstrate the generation of a strong mechanical squeezing in a dissipative optomechanical system by introducing a periodic modulation in the amplitude of a single-tone laser driving the system. The mechanical oscillator is…

Quantum Physics · Physics 2023-05-04 Priyankar Banerjee , Sampreet Kalita , Amarendra K. Sarma

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the…

Statistical Mechanics · Physics 2009-10-31 Claudio J. Tessone , Horacio S. Wio

We study the simplest optomechanical system in the presence of laser phase noise using the covariance matrix formalism. We show that the destructive effect of the phase noise is especially strong in the bistable regime. This explains why…

Quantum Physics · Physics 2015-05-28 R. Ghobadi , A. R. Bahrampour , C. Simon

We have analyzed the effects of the addition of external noise to non-dynamical systems displaying intrinsic noise, and established general conditions under which stochastic resonance appears. The criterion we have found may be applied to a…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , G. Gomila , J. M. Rubí

We theoretically investigate the steady-state bipartite entanglements, mechanical ground-state cooling, and mechanical quadrature squeezing in a hybrid electro-optomechanical system where a moving membrane is linearly coupled to the…

Quantum Physics · Physics 2025-02-13 N. Ghorbani , Ali Motazedifard , M. H. Naderi

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

Statistical Mechanics · Physics 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

The effects of pure multiplicative noise on stochastic resonance in an anti-tumor system modulated by a seasonal external field are investigated by using theoretical analyses of the generalized potential and numerical simulations. For…

Other Quantitative Biology · Quantitative Biology 2009-11-13 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

Stochastic resonance is a phenomenon in which fluctuations enhance an otherwise weak signal. It has been found in many different systems in paleoclimatology, biology, medicine, and physics. The classical stochastic resonance due to thermal…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 H. Mannel , J. Zöllner , E. Kleinherbers , M. Zöllner , N. Schwarz , F. Rimek , A. D. Wieck , A. Ludwig , A. Lorke , J. König , M. Geller
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