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The nonlinear response of noisy bistable systems driven by strong amplitude periodical force is investigated by physical experiment. The new phenomenon of locking of the mean switching frequency between states of bistable system is found.…

adap-org · Physics 2008-02-03 Boris Shulgin , Alexander Neiman , Vadim Anishchenko

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

Chaotic Dynamics · Physics 2007-05-23 Bambi Hu , Changsong Zhou

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different…

Soft Condensed Matter · Physics 2023-08-22 Ramu Kumar Yadav , M. Suman Kalyan , Rajeev Kapri , Abhishek Chaudhuri

We propose a mechanism of stochastic resonance induced by spatial noise (electric random fields) in ferroelectrics. The calculations demonstrate the characteristic of the stochastic resonance: certain random field can increase the…

Statistical Mechanics · Physics 2009-11-07 Zhi-Rong Liu , Wenhui Duan , Bing-Lin Gu , Xiao-Wen Zhang

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

We study the appearance of large scale mean motion sustained by stochastic forcing on a rotating fluid (in the quasigeostrophic approximation) flowing over topography. As in other noise rectification phenomena, the effect requires…

chao-dyn · Physics 2009-10-31 Alberto Alvarez , Emilio Hernandez-Garcia , Joaquin Tintore

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

Optimization and Control · Mathematics 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

We consider simple stochastic climate models, described by slowly time-dependent Langevin equations. We show that when the noise intensity is not too large, these systems can spend substantial amounts of time in metastable equilibrium,…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Nils Berglund , Barbara Gentz

We investigate the lifetime of dynamical regimes under the impact of noise motivated by low-dimensional models of the atmosphere. One may expect that the inclusion of noise tends to make the system leave prescribed regions of the state…

Numerical Analysis · Mathematics 2026-05-01 Henry Schoeller , Robin Chemnitz , Péter Koltai , Maximilian Engel , Stephan Pfahl

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

Conventional wisdom suggests that environmental noise drives populations toward extinction. In contrast, we report a paradoxical phenomenon in which stochasticity reverses a deterministic tipping point, thereby preventing collapse. Using a…

Populations and Evolution · Quantitative Biology 2025-07-08 Vinesh Vijayan , B Priyadharshini , R Sathish Kumar , G Janaki

We present a Bayesian non-parametric way of inferring stochastic differential equations for both regression tasks and continuous-time dynamical modelling. The work has high emphasis on the stochastic part of the differential equation, also…

Machine Learning · Statistics 2020-06-29 Martin Jørgensen , Marc Peter Deisenroth , Hugh Salimbeni

We review the mathematical formalism underlying the modelling of stochasticity in biological systems. Beginning with a description of the system in terms of its basic constituents, we derive the mesoscopic equations governing the dynamics…

Populations and Evolution · Quantitative Biology 2012-11-05 Alan J. McKane , Tommaso Biancalani , Tim Rogers

Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

Noise usually has an unwelcome influence on system performance. For instance, noise inevitably affects the low-frequency mechanical freedom in optomechanical experiments. However, we investigate here the beneficial effects of thermal noise…

Quantum Physics · Physics 2018-12-26 Danying Yu , Min Xie , Yanbei Cheng , Bixuan Fan

Chemical, physical and ecological systems passing through a saddle-node bifurcation will, momentarily, find themselves balanced at a semi-stable steady state. If perturbed by noise, such systems will escape from the zero-steady state, with…

Statistical Mechanics · Physics 2020-01-08 Alastair Jamieson-Lane , Eric N. Cytrynbaum

Time evolution in several classes of quantum devices is generated through the application of quantum gates. Resetting is a critical technological feature in these systems allowing for mid-circuit measurement and complete or partial qubit…

Quantum Physics · Physics 2025-05-14 Sascha Wald , Louie Hong Yao , Thierry Platini , Chris Hooley , Federico Carollo

A semi-phenomenological model is proposed to study dynamics and stedy states of magnetic fluxes and currents in mesoscopic rings and cylinders at non-zero temperature. The model is based on a Langevin equation for flux subject to zero-mean…

Condensed Matter · Physics 2007-05-23 J. Dajka , J. Luczka , M. Szopa , E. Zipper

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