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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 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

We investigate the dynamics of a soliton that behaves as an extended particle. The soliton motion in an effective bistable potential can be chaotic in a similar way as the Duffing oscillator. We generalize the concept of geometrical…

patt-sol · Physics 2009-10-31 J. A. Gonzalez , B. A. Mello , L. I. Reyes , L. E. Guerrero

We study the possibility of occurrence of vibrational resonance in a softening Duffing oscillator in the underdamped and overdamped cases both theoretically as well as numerically. The oscillator is driven by two periodic forces.…

Chaotic Dynamics · Physics 2021-07-20 Ivan Skhem Sawkmie , Donrich Kharkongor

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

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

We have analyzed the interplay between noise and periodic modulations in a mean field model of a neural excitable medium. To this purpose, we have considered two types of modulations; namely, variations of the resistance and oscillations of…

Statistical Mechanics · Physics 2016-08-15 J. M. G. Vilar , R. V. Solé , J. M. Rubí

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…

We consider potential type dynamical systems in finite dimensions with two meta-stable states. They are subject to two sources of perturbation: a slow external periodic perturbation of period $T$ and a small Gaussian random perturbation of…

Probability · Mathematics 2007-05-23 Samuel Herrmann , Peter Imkeller , Dierk Peithmann

Mixed positive and negative feedback loops are often found in biological systems which support oscillations. In this work we consider a prototype of such systems, which has been recently found at the core of many genetic circuits showing…

Statistical Mechanics · Physics 2015-06-03 Ashok Garai , Bartlomiej Waclaw , Hannes Nagel , Hildegard Meyer-Ortmanns

The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

Chaotic Dynamics · Physics 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo

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…

Strongly Correlated Electrons · Physics 2025-07-31 Francesco Valiera , Antonio Picano , Martin Eckstein

In this paper, we study the stochastic resonance (SR) effect in an optomechanical system driven by a strong coupling field and two weak signals in both semiclassical and quantum frameworks. In the semiclassical description, the SR phenomena…

Optics · Physics 2018-11-21 Min Xie , Bixuan Fan , Xiaoli He , Qingqing Chen

We develop a model of bistable oscillator with nonlinear dissipation. Using a numerical simulation and an electronic circuit realization of this system we study its response to additive noise excitations. We show that depending on noise…

Adaptation and Self-Organizing Systems · Physics 2016-05-25 Vladimir V. Semenov , Alexander B. Neiman , Tatyana E. Vadivasova , Vadim S. Anishchenko

Stochastic resonance describes the utility of noise in improving the detectability of weak signals in certain types of systems. It has been observed widely in natural and engineered settings, but its utility in image classification with…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Siegfried Ludwig

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but…

Statistical Mechanics · Physics 2009-11-10 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo

A two-state system (TSS) under time-periodic perturbations (to be regarded as input signals) is studied in connection with self-tuning (ST) of threshold and stochastic resonance (SR). By ST, we observe the improvement of signal-to-noise…

Statistical Mechanics · Physics 2015-05-20 Boyoung Seo , Raishma Krishnan , Toyonori Munakata

We propose a mechanism which produces periodic variations of the degree of predictability in dynamical systems. It is shown that even in the absence of noise when the control parameter changes periodically in time, below and above the…

chao-dyn · Physics 2009-10-22 A. Crisanti , M. Falcioni , G. Paladin , A. Vulpiani

We study the phenomenon of nonlinear stochastic resonance (SR) in a complex noisy system formed by a finite number of interacting subunits driven by rectangular pulsed time periodic forces. We find that very large SR gains are obtained for…

We consider an overdamped Brownian motion in "quartic" potential subjected to periodic driving. This system for the case of a weak periodic driving has been intensively studied during past decade within the context of stochastic resonance.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andrey L. Pankratov
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