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We show, the SR can appear in monostable overdamped systems driven by additive mix of periodical signal and white Gaussian noise. It can be observed as nonmonotonic dependence of SNR on the input noise intensity. In this sense it is similar…

Statistical Mechanics · Physics 2009-11-13 N. V. Agudov , A. V. Krichigin

It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensity, can be observed in quantum dissipative systems. We…

Adaptation and Self-Organizing Systems · Physics 2021-04-12 Yuzuru Kato , Hiroya Nakao

We consider a model for systemic risk comprising of a system of diffusion processes, interacting through their empirical mean. Each process is subject to a confining double-well potential with some uncertainty in the coefficients,…

Probability · Mathematics 2025-11-06 Alexander Alecio

In order to test theoretical predictions, we have studied the phenomenon of stochastic resonance in an electronic experimental system driven by white non Gaussian noise. In agreement with the theoretical predictions our main findings are:…

Statistical Mechanics · Physics 2009-11-07 F. J. Castro , M. N. Kuperman , M. Fuentes , H. S. Wio

We study the dynamics of a simple adaptive system in the presence of noise and periodic damping. The system is composed by two paths connecting a source and a sink, the dynamics is governed by equations that usually describe food search of…

Statistical Mechanics · Physics 2021-12-23 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

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

Cooperative effects of periodic force and noise in globally Cooperative effects of periodic force and noise in globally coupled systems are studied using a nonlinear diffusion equation for the number density. The amplitude of the order…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi

Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

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

We study the interplay between noise and a positive feedback mechanism in an excitable system that generates events. We show that such a system can exhibit a bistability in the dynamics of the event generation (states of low and high…

Statistical Mechanics · Physics 2014-10-22 Justus A. Kromer , Reynaldo D. Pinto , Benjamin Lindner , Lutz Schimansky-Geier

We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the HF signal to its…

Statistical Mechanics · Physics 2016-08-14 Jesús Casado-Pascual , David Cubero , José Pablo Baltanás

We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a chain of diffusively coupled bistable oscillators. In particular, we examine the situation in which the \textit{global} STSR response is controlled by a…

Biological Physics · Physics 2007-05-23 A. Samoletov , M. Chaplain , V. Levi

Instead of a continuous system driven by Gaussian white noise, logical stochastic resonance will be investigated in a nonlinear bistable system with two thresholds driven by dichotomous noise, which shows a phenomenon different from…

Mathematical Physics · Physics 2013-09-05 Yong Xu , Xiaoqin Jin , Huiqing Zhang , Tingting Yang

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 study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling. We construct a stochastic Hamiltonian by incorporating the noise into the…

Quantum Physics · Physics 2024-03-14 Dominic Shea , Alessandro Romito

We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The…

Pattern Formation and Solitons · Physics 2011-09-27 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

We consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks, that can result in a bistable switch-like behaviour. We completely characterize their local and global dynamics in the…

Molecular Networks · Quantitative Biology 2016-10-07 Michael C. Mackey , Marta Tyran-Kaminska

We consider spatially localized spiking activity patterns, so-called bumps, in ensembles of bistable spiking oscillators. The bistability consists in the coexistence of self-sustained spiking dynamics and quiescent steady-state regime. We…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Vladimir V. Semenov , Anna Zakharova

We study the noisy dynamics of two coupled bistable modes of a nanomechanical beam. When de-coupled, each driven mode obeys the Duffing equation of motion, with a well-defined bistable region in the frequency domain. When both modes are…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 David Allemeier , İsmet İnönü Kaya , M. Selim Hanay , Kamil L. Ekinci

We discuss the equilibrium of a single collective variable characterizing a finite set of coupled, noisy, bistable systems as the noise strength, the size and the coupling parameter are varied. We identify distinct regions in parameter…

Statistical Mechanics · Physics 2015-05-13 José Gómez-Ordóñez , José M. Casado , Manuel Morillo , Christoph Honisch , Rudolf Friedrich