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We study the stochastic resonance phenomenon in the overdamped two coupled anharmonic oscillators with Gaussian noise and driven by different external periodic forces. We consider (i) sine, (ii) square, (iii) symmetric saw-tooth, (iv)…

Chaotic Dynamics · Physics 2015-06-26 V. M. Gandhimathi , K. Murali , S. Rajasekar

Resonant activation is an effect of a noise-induced escape over a modulated potential barrier. The modulation of a energy landscape facilitates the escape kinetics and makes it optimal as measured by the mean first passage time. A canonical…

Statistical Mechanics · Physics 2014-04-23 Krzysztof Szczepaniec , Barlomiej Dybiec

The archetypal system demonstrating stochastic resonance is nothing more than a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a…

Statistical Mechanics · Physics 2014-01-10 Krzysztof Szczepaniec , Bartlomiej Dybiec

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic…

Statistical Mechanics · Physics 2007-05-23 Gerhard Schmid , Peter Hanggi

We study Brownian particle motion in a double-well potential driven by an ac force. This system exhibits the phenomenon of stochastic resonance. Distribution of work done on the system over a drive period in the time asymptotic regime have…

Statistical Mechanics · Physics 2009-11-13 Shantu Saikia , Ratnadeep Roy , A. M. Jayannavar

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar

We consider stochastic dynamics of a particle on a plane in presence of two noises and a confining parabolic potential - an analog of the experimentally-relevant Brownian Gyrator (BG) model. In contrast to the standard BG model, we suppose…

Statistical Mechanics · Physics 2025-12-16 Timothée Herbeau , Leonid Pastur , Pascal Viot , Gleb Oshanin

We study the dynamics of an overdamped Brownian particle subjected to Poissonian stochastic resetting in a nonthermal bath, characterized by a Poisson white noise and a Gaussian noise. Applying the renewal theory we find an exact analytical…

Statistical Mechanics · Physics 2021-09-13 Koushik Goswami , Rajarshi Chakrabarti

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

We identify a unifying measure for stochastic resonance (SR) in voltage dependent ion channels which comprises periodic (conventional), aperiodic and nonstationary SR. Within a simplest setting, the gating dynamics is governed by two-state…

Statistical Mechanics · Physics 2009-10-31 Igor Goychuk , Peter Hanggi

We revisit the phenomenon of quantum stochastic resonance in the regime of validity of the Bloch equations. We find that a stochastic resonance behavior in the steady-state response of the system is present whenever the noise-induced…

Quantum Physics · Physics 2009-11-06 L. Viola , E. M. Fortunato , S. Lloyd , C. -H. Tseng , D. G. Cory

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

Biological Physics · Physics 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi

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 consider a two-state model of non-Markovian stochastic resonance (SR) within the framework of the theory of renewal processes. Residence time intervals are assumed to be mutually independent and characterized by some arbitrary…

Condensed Matter · Physics 2009-11-10 Igor Goychuk , Peter Hanggi

The stochastic resonance (SR) in bistable systems has been extensively discussed with the use of {\it phenomenological} Langevin models. By using the {\it microscopic}, generalized Caldeira-Leggett (CL) model, we study in this paper, SR of…

Statistical Mechanics · Physics 2015-06-04 Hideo Hasegawa

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

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

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

In this paper, we report stochastic resonance (SR) in a single electron turnstile. It has been known that SR emerges by the cooperation of a weak periodic signal and noise in a bistable system. A periodic signal produces switching between…

Quantum Physics · Physics 2007-10-16 Hisanao Akima , Shigeo Sato , Koji Nakajima

The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of…

Statistical Mechanics · Physics 2007-05-23 Bartlomiej Dybiec , Ewa Gudowska-Nowak
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