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Related papers: Stochastic Resonance in Two-State Markov Chains

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We present a class of systems for which the signal-to-noise ratio as a function of the noise level may display a multiplicity of maxima. This phenomenon, referred to as stochastic multiresonance, indicates the possibility that periodic…

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

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

The interplay of such cornerstones of modern nonlinear fiber optics as a nonlinearity, stochasticity and polarization leads to variety of the noise induced instabilities including polarization attraction and escape phenomena harnessing of…

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Stochastic processes with multiplicative noise have been studied independently in several different contexts over the past decades. We focus on the regime, found for a generic set of control parameters, in which stochastic processes with…

Statistical Mechanics · Physics 2015-06-25 D. Sornette

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

A study of statistics of transmission and reflection from a random medium with stochastic amplification as opposed to coherent amplification is presented. It is found that the transmission coefficient $t$, for sample length $L$ less than…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandeep K. Joshi , A. M. Jayannavar

The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the…

Biological Physics · Physics 2009-11-06 Hans E. Plesser , Theo Geisel

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

A fluctuation theory is presented for the nonequilibrium second order phase transition in a quasi-two-dimensional electron gas. A transverse (with respect to the current through the sample) spontaneous electric field as an order parameter…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. M. Shmelev , E. M. Epshtein , A. S. Matveev

Oscillations in a stochastic dynamical system, whose deterministic counterpart has a stable steady state, are a widely reported phenomenon. Traditional methods of finding parameter regimes for stochastically-driven resonances are, however,…

Molecular Networks · Quantitative Biology 2017-03-01 Michael F Adamer , Thomas E Woolley , Heather A Harrington

Parameter sensitivity analysis is a powerful tool in the building and analysis of biochemical network models. For stochastic simulations, parameter sensitivity analysis can be computationally expensive, requiring multiple simulations for…

Computational Physics · Physics 2015-06-04 Patrick B. Warren , Rosalind J. Allen

We show the appearance of spatiotemporal stochastic resonance in the Swift-Hohenberg equation. This phenomenon emerges when a control parameter varies periodically in time around the bifurcation point. By using general scaling arguments and…

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

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 show that the dipole, a system usually proposed to model relaxation phenomena, exhibits a maximum in the signal-to-noise ratio at a non-zero noise level, thus indicating the appearance of stochastic resonance. The phenomenon occurs in…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , A. Pérez-Madrid , J. M. Rubí

We consider the problem of estimating the asymptotic variance of a function defined on a Markov chain, an important step for statistical inference of the stationary mean. We design a novel recursive estimator that requires $O(1)$…

Statistics Theory · Mathematics 2024-09-24 Shubhada Agrawal , Prashanth L. A. , Siva Theja Maguluri

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing, the height of the two barriers, one for each path,…

Probability · Mathematics 2018-03-05 Tommy Liu

We report the first observation of stochastic resonance in confined exciton-polaritons. We evidence this phenomena by tracking the polaritons behavior through two stochastic resonance quantifiers namely the spectral magnification factor and…

Mesoscale and Nanoscale Physics · Physics 2015-04-17 Hadis Abbaspour , Stéphane Trebaol , Marcia Portella-Oberli , Benoit Deveaud