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As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

Adaptation and Self-Organizing Systems · Physics 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

Vibrational resonance focuses on the resonance behavior of a nonlinear system when it is subjected to both a weak low-frequency characteristic signal and a high-frequency auxiliary signal. A traditional Duffing system has a fixed natural…

Adaptation and Self-Organizing Systems · Physics 2026-01-13 Zhongqiu Wan , Jianhua Yang , Feng Tian , Huatao Chen , Miguel A. F. Sanjuán

This paper revisits the resonant behavior of a harmonically-forced Duffing oscillator with a specific attention to phase resonance and to its relation with amplitude resonance. To this end, the different families of resonances, namely…

Dynamical Systems · Mathematics 2022-08-17 Martin Volvert , Gaetan Kerschen

Recently, stochastic resonance was obtained numerically in an underdamped periodic potential system driven by a periodic force and a Gaussian white noise. In that numerical work, the occurrence of stochastic resonance was explained in terms…

Chaotic Dynamics · Physics 2018-12-21 Ivan Skhem Sawkmie , Mangal C. Mahato

The creation and subsequent evolution of marginally-unstable modes have been observed in a wide range of fusion devices. This behaviour has been successfully explained, for a single frequency shifting mode, in terms of phase-space…

The stochastic gravitational wave background produced by supernovas, magnetars and merger of binaries constituted by a pair of compact objects is reviewed and updated. The merger of systems composed by two black holes dominates by far the…

High Energy Astrophysical Phenomena · Physics 2020-01-28 José Antonio de Freitas Pacheco

The problem of a linear damped noisy oscillator is treated in the presence of two multiplicative sources of noise which imply a random mass and random damping. The additive noise and the noise in the damping are responsible for an influx of…

Statistical Mechanics · Physics 2016-12-07 Stanislav Burov , Moshe Gitterman

We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the…

Probability · Mathematics 2015-08-06 Eva Lang

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

We discuss the detection of gravitational-wave backgrounds in the context of Bayesian inference and suggest a practical definition of what it means for a signal to be considered stochastic---namely, that the Bayesian evidence favors a…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Neil J. Cornish , Joseph D. Romano

Noise is widely understood to be something that interferes with a signal or process. Thus, it is generally thought to be destructive, obscuring signals and interfering with function. However, early in the 20th century, mechanical engineers…

Biological Physics · Physics 2019-06-10 Steven Weinstein , Theodore P. Pavlic

Stochastic resonance (SR) is a phenomenon in which signal to noise (SN) ratio gets improved by noise addition rather than removal as envisaged classically. SR was first claimed in climatology a few decades ago and then in other disciplines…

Geophysics · Physics 2008-11-03 Mensur Omerbashich

This paper considers nonlinear dynamics of polarization oscillations when some materials when they are subjected to the action of an electromagnetic wave modeled by multifrequency forced Duffing equation. Multiresonance and chaotic behavior…

Chaotic Dynamics · Physics 2017-05-10 C. Ainamon , C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

The phenomenon of sequential vibrational resonance existed in a multistable system that is excited by both high- and low-frequency signals is reported. By the method of direct separation of motions, the theoretical investigation on…

Chaotic Dynamics · Physics 2011-06-20 J. H. Yang , X. B. Liu

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

In this work we theoretically investigate the stochastic resonance (SR) effect in an optomechanical membrane system subject to two weak signals (one optical field and one mechanical force). The quadratic optomechanical coupling allows us to…

Quantum Physics · Physics 2017-02-08 Bixuan Fan , Min Xie

We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively,…

Chaotic Dynamics · Physics 2021-09-22 C. S. Barquist , W. G. Jiang , K. Gunther , Y. Lee

The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially…

Dynamical Systems · Mathematics 2024-03-22 Oskar A. Sultanov

We show the existence of internal stochastic resonance in a microscopic stochastic model for the oscillating CO oxidation on single crystal surfaces. This stochastic resonance arises directly from the elementary reaction steps of the system…

Condensed Matter · Physics 2007-05-23 O. Kortlüke , V. N. Kuzovkov , W. von Niessen

We study a reaction model that presents stochastic resonance purely due to internal noise. This means that the only source of fluctuations comes from the discrete character of the reactants, and no more noises enter into the system. Our…

Statistical Mechanics · Physics 2009-11-11 Carlos Escudero
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