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The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

Neurons and Cognition · Quantitative Biology 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov

Stochastic Resonance (SR) describes a phenomenon where an additive noise (stochastic carrier-wave) enhances the signal transmission in a nonlinear system. In the nervous system, nonlinear properties are present from the level of single ion…

Signal Processing · Electrical Eng. & Systems 2023-10-09 Weronika Potok , Onno van der Groen , Sahana Sivachelvam , Marc Bächinger , Flavio Fröhlich , Laszlo B. Kish , Nicole Wenderoth

Adding noise to a sensory signal generally decreases human performance. However noise can improve performance too, due to a process called stochastic resonance (SR). This paradoxical effect may be exploited in psychophysical experiments, to…

Neurons and Cognition · Quantitative Biology 2017-11-15 Jeroen J. A. van Boxtel

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Neurons and Cognition · Quantitative Biology 2017-10-16 Bertha Vázquez-Rodríguez , Andrea Avena-Koenigsberger , Olaf Sporns , Alessandra Griffa , Patric Hagmann , Hernán Larralde

We study Poisson-noise induced switching between coexisting vibrational states in driven nonlinear micromechanical resonators. In contrast to Gaussian noise induced switching, the measured logarithm of the switching rate is proportional not…

Mesoscale and Nanoscale Physics · Physics 2013-02-21 Jie Zou , Sanal Buvaev , Mark Dykman , Ho Bun Chan

The response of a nonlinear stochastic system driven by an external sinusoidal time dependent force is studied by a variety of numerical and analytical approximations. The validity of linear response theory is put to a critical test by…

Statistical Mechanics · Physics 2009-11-07 J. Casado-Pascual , J. Gómez-Ordóñez , M. Morillo , P. Hänggi

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a…

Dynamical Systems · Mathematics 2015-10-26 Anna Maria Cherubini , Jeroen S. W. Lamb , Martin Rasmussen , Yuzuru Sato

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

Two stable dynamical states of trajectories of an underdamped particle, under appropriate conditions, appear naturally in a sinusoidal potential when driven by a low amplitude biharmonic external field. These states are quite stable at low…

Statistical Mechanics · Physics 2015-02-03 W. L. Reenbohn , Mangal C. Mahato

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

Structural resonance involves the absorption of inertial loads by a tuned structural elasticity: a process playing a key role in a wide range of biological and technological systems, including many biological and bio-inspired locomotion…

Pattern Formation and Solitons · Physics 2023-07-20 Arion Pons , Tsevi Beatus

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

Context. Slowly pulsating B (SPB) stars display multi-periodic variability in the gravito-inertial mode regime with indications of non-linear resonances between modes. Several have undergone asteroseismic modeling in the past few years to…

Solar and Stellar Astrophysics · Physics 2024-07-31 Jordan Van Beeck , Tim Van Hoolst , Conny Aerts , Jim Fuller

We study the overdamped motion of a Brownian particle in a driven double-well system to understand various physical phenomena observed experimentally. These phenomena include hysteresis, stochastic resonance, and net unidirectional motion…

Condensed Matter · Physics 2015-06-25 Mangal C. Mahato , A. M. Jayannavar

Inverse stochastic resonance (ISR) is a phenomenon where noise reduces rather than increases the firing rate of a neuron, sometimes leading to complete quiescence. ISR was first experimentally verified with cerebellar Purkinje neurons.…

Adaptation and Self-Organizing Systems · Physics 2024-10-18 Marius E. Yamakou , Jinjie Zhu , Erik A. Martens

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

Data Analysis, Statistics and Probability · Physics 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

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…

Magnetic resonance spectroscopy (MRS) offers significant diagnostic potential but is inherently constrained by low signal-to-noise ratio (SNR). While increasing the main magnetic field strength B_0 is theoretically linked to increased SNR,…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Guodong Weng , Johannes Slotboom

Stochastic motion in a bistable, periodically modulated potential is discussed. The system is stimulated by a white noise increments of which have a symmetric stable L\'evy distribution. The noise is multiplicative: its intensity depends on…

Statistical Mechanics · Physics 2012-02-15 Tomasz Srokowski

We consider effect of stochastic sources upon self-organization process being initiated with creation of the limit cycle. General expressions obtained are applied to the stochastic Lorenz system to show that departure from equilibrium…

Statistical Mechanics · Physics 2015-05-13 I. A. Shuda , S. S. Borysov , A. I. Olemskoi