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The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of…

Statistical Mechanics · Physics 2009-11-11 Bartlomiej Dybiec , Ewa Gudowska-Nowak

Self-injection locking is a dynamic phenomenon representing stabilization of the emission frequency of an oscillator with a passive cavity enabling frequency filtered coherent feedback to the oscillator cavity. For instance, self-injection…

The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a uniform gravitational field. The surface is modelled by the…

Statistical Mechanics · Physics 2023-03-10 N. V. Antonov , N. M. Gulitskiy , P. I. Kakin , D. A. Kerbitskiy

Efficient simulation of the timing jitter in passively mode-locking lasers is key to their numerical investigation and optimization. We introduce a method based on the pulse-period fluctuation auto-correlation function and compare it…

Optics · Physics 2024-02-22 Stefan Meinecke , Kathy Lüdge

Noise can shape the firing behaviors of neurons. Here, we show that noise acting on the fast variable of the Hedgehog burster can tune the spike counts of bursts via the self-induced stochastic resonance (SISR) phenomenon. Using the…

Adaptation and Self-Organizing Systems · Physics 2022-07-29 Jinjie Zhu , Hiroya Nakao

We consider a cluster growth model on the d-dimensional lattice, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied…

Probability · Mathematics 2013-06-03 Amine Asselah , Alexandre Gaudilliere

Reproducibility of a noisy limit-cycle oscillator driven by a random piecewise constant signal is analyzed. By reducing the model to random phase maps, it is shown that the reproducibility of the limit cycle generally improves when the…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Hiroya Nakao , Ken Nagai , Kensuke Arai

He-Ne ring laser gyroscopes are, at present, the most precise devices for absolute angular velocity measurements. Limitations to their performance come from the non--linear dynamics of the laser. Following the Lamb semi-classical theory, we…

Instrumentation and Detectors · Physics 2015-06-11 Alessandro Beghi , Jacopo Belfi , Nicolò Beverini , B. Bouhadef , D. Cuccato , Angela Di Virgilio , Antonello Ortolan

We describe a new approach to understanding and calculating magnetization switching rates and noise in the recently observed phenomenon of "spin-torque switching". In this phenomenon, which has possible applications to information storage,…

Materials Science · Physics 2007-05-23 D. M. Apalkov , P. B. Visscher

In this paper, we study the performance of non-fading and Rayleigh fading ad hoc networks. We first characterize the distribution of the signal-to-interference-plus-noise ratio (SINR) through the Laplace transform of the inverted SINR for…

Information Theory · Computer Science 2015-09-15 Hieu Duy Nguyen , Sumei Sun

We demonstrate robust, high-speed random number generation using interference of the steady-state emission of guaranteed random phases, obtained through gain-switching a semiconductor laser diode. Steady-state emission tolerates large…

Quantum Physics · Physics 2014-07-04 Z. L. Yuan , M. Lucamarini , J. F. Dynes , B. Frohlich , A. Plews , A. J. Shields

We propose a semi-analytical method of calculating the timing fluctuations in mode-locked semiconductor lasers and apply it to study the effect of delayed coherent optical feedback on pulse timing jitter in these lasers. The proposed method…

Recently, Wang and Landau proposed a new random walk algorithm that can be very efficiently applied to many problems. Subsequently, there has been numerous studies on the algorithm itself and many proposals for improvements were put…

Statistical Mechanics · Physics 2009-11-11 Hwee Kuan Lee , Yutaka Okabe , D. P. Landau

Including local automatic gain control (AGC) circuitry into a silicon cochlea design has been challenging because of transistor mismatch and model complexity. To address this, we present an alternative system-level algorithm that implements…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Ilya Kiselev , Chang Gao , Shih-Chii Liu

A fault detection and isolation method for satellite rate gyros is proposed based on using the satellite-to-satellite measurements such as relative position beside orbit parameters of the primary satellite. By finding a constant of motion,…

Optimization and Control · Mathematics 2018-05-02 Amir Shakouri , Nima Assadian

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Materials Science · Physics 2007-05-23 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

In scenarios where synchronous generators (SGs) and grid-following renewable energy sources (GFLR) are co-located, existing research, which mainly focuses on the first-swing stability of SGs, often overlooks ongoing dynamic interactions…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Bingfang Li , Songhao Yang , Guosong Wang , Yiwen Hu , Xu Zhang , Zhiguo Hao , Dongxu Chang , Baohui Zhang

We theoretically investigate the effect of random fluctuations on the motion of elongated microswimmers near hydrodynamic transport barriers in externally-driven fluid flows. Focusing on the two-dimensional hyperbolic flow, we consider the…

Fluid Dynamics · Physics 2022-02-03 Simon A. Berman , Kevin A. Mitchell

Fokker-Planck equations are extensively employed in various scientific fields as they characterise the behaviour of stochastic systems at the level of probability density functions. Although broadly used, they allow for analytical treatment…

Statistical Mechanics · Physics 2020-08-26 Dimitra Maoutsa , Sebastian Reich , Manfred Opper

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Ali Reza Pedram , Takashi Tanaka