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We investigate the collective signal response of two typical nonlinear dynamical models, the mean-field coupled overdamped bistable oscillators and the underdamped Duffing oscillators, with respect to both the additive Ornstein-Uhlenbeck…

Biological Physics · Physics 2025-02-28 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

We discuss how to exploit stochastic resonance with the methods of statistical theory of decisions. To do so, we evaluate two detection strategies: escape time analysis and strobing. For a standard quartic bistable system with a periodic…

Data Analysis, Statistics and Probability · Physics 2016-01-12 Paolo Addesso , Vincenzo Pierro , Giovanni Filatrella

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…

Stochastic resonance (SR), a phenomenon originally introduced in climate modeling, enhances signal detection by leveraging optimal noise levels within non-linear systems. Traditional SR techniques, mainly based on single-threshold…

Signal Processing · Electrical Eng. & Systems 2025-10-27 Dixon Vimalajeewa , Ursula U. Muller , Brani Vidakovic

Stochastic resonance (SR) is a coherence enhancement effect due to noise that occurs in periodically-driven nonlinear dynamical systems. A very broad range of physical and biological systems present this effect such as climate change,…

Pattern Formation and Solitons · Physics 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira

We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The networks incorporate the weighted contributions of both pairwise coupling and 2-simplex coupling. Our findings…

Statistical Mechanics · Physics 2026-03-09 Zhongwen Bi , Dan Zhao , Qi Liu , Jürgen Kurths , Yong Xu

For cellular biochemical reaction systems where the numbers of molecules is small, significant noise is associated with chemical reaction events. This molecular noise can give rise to behavior that is very different from the predictions of…

Molecular Networks · Quantitative Biology 2009-11-13 Matthew Scott , Terence Hwa , Brian Ingalls

An amplification of a weak low-frequency harmonic signal is experimentally observed in a single-junction-superconducting quantum interferometer (RF SQUID loop) due to stochastic transitions between two or more metastable states of the loop…

Superconductivity · Physics 2015-06-23 O. G. Turutanov , V. Yu. Lyakhno , V. I. Shnyrkov

The long-term mean-field dynamics of coupled underdamped Duffing oscillators driven by an external periodic signal with Gaussian noise is investigated. A Boltzmann-type H-theorem is proved for the associated nonlinear Fokker-Planck equation…

Dynamical Systems · Mathematics 2019-08-30 Ruonan Liu , Yanmei Kang , Yuxuan Fu , Guanrong Chen

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

In this paper I will review some basic aspects of the mechanism of stochastic resonance. Stochastic resonance was first introduced as a possible mechanism to explain long term climatic variation. Since then, there have been many…

Chaotic Dynamics · Physics 2017-08-23 Roberto Benzi

This study explores stochastic resonance (SR) in a Schmitt trigger circuit and its application to weak signal detection. SR, a phenomenon where noise synchronizes with weak signals to enhance detectability, was demonstrated using a…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Yoonkang Kim , Donghyeok Seo

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 phenomenon of stochastic resonance, wherein the stimulus-response of a system can be maximized by an intermediate level of noise, has been extensively investigated through linear response theory. As yet a unified response-noise or…

Adaptation and Self-Organizing Systems · Physics 2025-03-03 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental…

Chaotic Dynamics · Physics 2012-07-30 O. Calvo , J. H. E. Cartwright , D. L. Gonzalez , O. Piro , O. Rosso

Exceptional points, a remarkable phenomenon in physical systems, have been exploited for sensing applications. It has been demonstrated recently that it can also utilize as sensory threshold in which the interplay between exceptional-point…

Applied Physics · Physics 2024-10-18 Shirin Panahi , Li-Li Ye , Ying-Cheng Lai

We consider noise-driven exit from a domain of attraction in a two-dimensional bistable system lacking detailed balance. Through analog and digital stochastic simulations, we find a theoretically predicted bifurcation of the most probable…

Data Analysis, Statistics and Probability · Physics 2008-02-03 D. G. Luchinsky , R. S. Maier , R. Mannella , P. V. E. McClintock , D. L. Stein

The dynamics of a system formed by a finite number $N$ of globally coupled bistable oscillators and driven by external forces is studied focusing on a global variable defined as the arithmetic mean of each oscillator variable. Several…

Statistical Mechanics · Physics 2009-11-13 David Cubero