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We propose here a stochastic binary element whose transition rate depends on its state at a fixed interval in the past. With this delayed stochastic transition this is one of the simplest dynamical models under the influence of ``noise''…

Statistical Mechanics · Physics 2009-10-31 Toru Ohira , Yuzuru Sato

We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength.…

Quantum Physics · Physics 2013-05-29 Susana Huelga , Martin Plenio

Stationary states of overdamped anharmonic stochastic oscillators driven by L\'evy noise are typically multimodal. The very same situation is recorded for an underdamped L\'evy noise driven motion in single-well potentials with linear…

Statistical Mechanics · Physics 2020-08-26 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

In networked systems, stochastic resonance occurs as a collective phenomenon where the entire stochastic network resonates with a weak applied periodic signal. Beyond the interplay among the network coupling, the amplitude of the external…

Adaptation and Self-Organizing Systems · Physics 2025-02-11 Jonah E. Friederich , Everton S. Medeiros , Sabine H. L. Klapp , Anna Zakharova

We calculate the change of the properties of a resonator, when coupled to a semiclassical spin by means of the magnetic field. Starting with the Lagrangian of the complete system, we provide an analytical expression for the linear response…

Mesoscale and Nanoscale Physics · Physics 2016-10-21 J. M. de Voogd , J. J. T. Wagenaar , T. H. Oosterkamp

Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells 1,2. Such noise usually increases the probability that a…

Neurons and Cognition · Quantitative Biology 2008-05-06 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

Nonlinear systems driven by noise and periodic forces with more than one frequency exhibit the phenomenon of Ghost Stochastic Resonance (GSR) found in a wide and disparate variety of fields ranging from biology to geophysics. The common…

Disordered Systems and Neural Networks · Physics 2015-05-30 Pablo Balenzuela , Holger Braun , Dante R. Chialvo

We compare the harmonic and anharmonic properties of the vibrational modes in 3-dimensional jammed packings of frictionless spheres interacting via repulsive, finite range potentials. A crossover frequency is apparent in the density of…

Soft Condensed Matter · Physics 2010-06-25 Ning Xu , Vincenzo Vitelli , Andrea J. Liu , Sidney R. Nagel

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov

A parametrically modulated oscillator has two opposite-phase vibrational states at half the modulation frequency. An extra force at the vibration frequency breaks the symmetry of the states. The effect can be extremely strong due to the…

Statistical Mechanics · Physics 2024-08-19 D. K. J. Boneß , W. Belzig , M. I. Dykman

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

Statistical Mechanics · Physics 2007-05-23 Asish K. Dhara , S. R. Banerjee

Oscillations in nonequilibrium noisy systems are important physical phenomena. These oscillations can happen in autonomous biochemical oscillators such as circadian clocks. They can also manifest as subharmonic oscillations in periodically…

Statistical Mechanics · Physics 2019-12-25 Daniele De Martino , Andre C Barato

We study Brownian particle motion in a double-well potential driven by an ac force. This system exhibits the phenomenon of stochastic resonance. Distribution of work done on the system over a drive period in the time asymptotic regime have…

Statistical Mechanics · Physics 2009-11-13 Shantu Saikia , Ratnadeep Roy , A. M. Jayannavar

We investigate autonomous stochastic resonance in fully frustrated Josephson-junction ladders, which are driven by uniform constant currents. At zero temperature large currents induce oscillations between the two ground states, while for…

Condensed Matter · Physics 2009-11-07 Gun Sang Jeon , M. Y. Choi

The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially…

Dynamical Systems · Mathematics 2024-03-22 Oskar A. Sultanov

A bifurcating system subject to multiplicative noise can exhibit on-off intermittency close to the instability threshold. For a canonical system, we discuss the dependence of this intermittency on the Power Spectrum Density (PSD) of the…

Statistical Mechanics · Physics 2015-05-13 Sebastien Aumaitre , Kirone Mallick , Francois Petrelis

When two systems are coupled, the driver system can function as an external forcing over the driven or response system. Also, an external forcing can independently perturb the driven system, leading us to examine the interplay between the…

Chaotic Dynamics · Physics 2024-12-11 Mattia Coccolo , Miguel A. F. Sanjuán

Noise through its interaction with the nonlinearity of the living systems can give rise to counter-intuitive phenomena. In this paper we shortly review noise induced effects in different ecosystems, in which two populations compete for the…

Populations and Evolution · Quantitative Biology 2016-09-26 D. Valenti , A. Giuffrida , G. Denaro , N. Pizzolato , L. Curcio , B. Spagnolo , S. Mazzola , G. Basilone , A. Bonanno

We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever.…

Statistical Mechanics · Physics 2010-04-20 Juan Ruben Gomez-Solano , Ludovic Bellon , Artyom Petrosyan , Sergio Ciliberto
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