English
Related papers

Related papers: Nonlinear Stochastic Resonance with subthreshold r…

200 papers

The kinetics of a periodically driven nonlinear oscillator, bistable in a nearly resonant field, has been investigated theoretically and through analogue experiments. An activation dependence of the probabilities of fluctuational…

chao-dyn · Physics 2009-10-22 MI Dykman , DG Luchinsky , R Mannella , PVE McClintock , ND Stein , NG Stocks

We consider a harmonically driven acoustic medium in the form of a (finite length) highly nonlinear granular crystal with an amplitude and frequency dependent boundary drive. Remarkably, despite the absence of a linear spectrum in the…

Pattern Formation and Solitons · Physics 2015-12-30 D. Pozharskiy , Y. Zhang , M. O. Williams , D. M. McFarland , P. G. Kevrekidis , A. F. Vakakis , I. G. Kevrekidis

We study the impact of static and dynamic disorder on the phenomenon of stochastic resonance (SR) in a representative soft matter system. Due to their extreme susceptibility to weak perturbations soft matter systems appear to be excellent…

Soft Condensed Matter · Physics 2008-08-20 Matjaz Perc , Marko Gosak , Samo Kralj

The stochastic signal detected by pulsar timing arrays (PTAs) has raised great interest in understanding its physical origin. Assuming the signal is a cosmological gravitational-wave background produced by overly large primordial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-31 Jia-Heng Jin , Zu-Cheng Chen , Zhu Yi , Zhi-Qiang You , Lang Liu , You Wu

In previous articles we have investigated the firing properties of the standard Hodgkin-Huxley (HH) systems of ordinary and partial differential equations in response to input currents composed of a drift (mean) and additive Gaussian white…

Neurons and Cognition · Quantitative Biology 2015-06-04 Henry C. Tuckwell , Jürgen Jost

We undertake a detailed numerical study of the phenomenon of stochastic resonance with multisignal inputs. A bistable cubic map is used as the model and we show that it combines the features of a bistable system and a threshold system. A…

Chaotic Dynamics · Physics 2007-05-23 K P Harikrishnan , G Ambika

We discuss the effect of stochastic resonance in a simple model of magnetic reversals. The model exhibits statistically stationary solutions and bimodal distribution of the large scale magnetic field. We observe a non trivial amplification…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Jean-Francois Pinton

Constriction-based Josephson weak-links display a thermal bi-stability between two states exhibiting zero and finite voltages. This manifests in experiments either as hysteresis in weak-links current voltage characteristics or as random…

Stochastic averaging allows for the reduction of the dimension and complexity of stochastic dynamical systems with multiple time scales, replacing fast variables with statistically equivalent stochastic processes in order to analyze…

Probability · Mathematics 2015-02-25 William F. Thompson , Rachel A. Kuske , Adam H. Monahan

We study a non Markovian three state model, subjected to an external periodic signal. This model is intended to describe an excitable systems with periodical driving. In the limit of a small amplitude of the external signal we derive…

Statistical Mechanics · Physics 2009-11-10 T. Prager , L. Schimansky-Geier

We study nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 O. Shoshani , S. W. Shaw , M. I. Dykman

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…

We study the stochastic resonance (SR) of a flexible polymer chain crossing over a piecewise linear bistable potential. The dependence of signal to noise ratio $SNR$ on noise intensity $D$, coupling constant $k$ and polymer length $N$ is…

Statistical Mechanics · Physics 2015-05-19 Mesfin Asfaw

The mobility of an overdamped particle, in a periodic potential tilted by a constant external field and moving in a medium with periodic friction coefficient is examined. When the potential and the friction coefficient have the same…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

The effects of noise on the dynamics of nonlinear systems is known to lead to many counter-intuitive behaviors. Using simple planar limit cycle oscillators, we show that the addition of moderate noise leads to qualitatively different…

Chaotic Dynamics · Physics 2015-06-17 Jay M. Newby , Michael A. Schwemmer

We study thermal instability in NbN superconducting stripline resonators. The system exhibits extreme nonlinearity near a bifurcation, which separates a monostable zone and an astable one. The lifetime of the metastable state, which is…

Superconductivity · Physics 2013-05-29 Eran Segev , Baleegh Abdo , Oleg Shtempluck , Eyal Buks

Two trains of light pulses at periods that are equally shifted from the harmonics of a missing fundamental, are combined in a nonlinear crystal. As a result of a noncollinear phase matched second order nonlinear generation, a new train of…

Other Condensed Matter · Physics 2016-08-16 Xavier Vidal , Pablo Balenzuela , Javier M. Buldú , Jordi Martorell , Jordi García-Ojalvo

We consider a two-state model of non-Markovian stochastic resonance (SR) within the framework of the theory of renewal processes. Residence time intervals are assumed to be mutually independent and characterized by some arbitrary…

Condensed Matter · Physics 2009-11-10 Igor Goychuk , Peter Hanggi

The transduction process that occurs in the inner ear of the auditory system is a complex mechanism which requires a non-linear dynamical description. In addition to this, the stochastic phenomena that naturally arise in the inner ear…

Physics Education · Physics 2022-01-17 Francesco Veronesi , Edoardo Milotti

In this paper, we study the stochastic resonance (SR) effect in an optomechanical system driven by a strong coupling field and two weak signals in both semiclassical and quantum frameworks. In the semiclassical description, the SR phenomena…

Optics · Physics 2018-11-21 Min Xie , Bixuan Fan , Xiaoli He , Qingqing Chen