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We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

偏微分方程分析 · 数学 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

组织与器官 · 定量生物学 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

A method is proposed to analyze the heartbeat waveform that can yield a reliable characterization of the structure after only a few pulses. The measure suggested is entropy index that is related to the one found effective in describing…

医学物理 · 物理学 2007-05-23 Rudolph C. Hwa

We analyzed the heartbeat time series of 12 human subjects exposed to progressive central hypovolemia with lower body negative pressure. Two data processing techniques based on wavelet transforms were used to determine the change in the…

统计力学 · 物理学 2007-05-23 Bruce J. West , Nicola Scafetta , William H. Cooke , Rita Balocchi

The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles as in a free electron laser, displays large oscillations due to an aggregate of particles, called the macro-particle. In this article,…

We present a Bayesian dynamical inference method for characterizing cardiorespiratory (CR) dynamics in humans by inverse modelling from blood pressure time-series data. This new method is applicable to a broad range of stochastic dynamical…

数据分析、统计与概率 · 物理学 2009-11-11 D. G. Luchinsky , V. N. Smelyanskiy , M. M. Millonas , A. Stefanovska , P. V. E. McClintock

Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the…

流体动力学 · 物理学 2020-05-26 Duo Xu , Atul Varshney , Xingyu Ma , Baofang Song , Michael Riedl , Marc Avila , Björn Hof

Various authors have shown that, near the onset of a period-doubling bifurcation, small perturbations in the control parameter may result in much larger disturbances in the response of the dynamical system. Such amplification of small…

混沌动力学 · 物理学 2007-05-23 Xiaopeng Zhao , David G. Schaeffer , Carolyn M. Berger , Daniel J. Gauthier

Characterisations of the long-term behaviour of heart rate variability in humans have emerged in the last few years as promising candidates to became clinically significant tools. We present two different statistical analyses of long time…

数据分析、统计与概率 · 物理学 2011-02-10 P. A. Ritto , J. G. Contreras , J. J. Alvarado-Gil

We report the observation of intermittency in gravity-capillary wave turbulence on the surface of mercury. We measure the temporal fluctuations of surface wave amplitude at a given location. We show that the shape of the probability density…

流体动力学 · 物理学 2011-11-09 Eric Falcon , Stéphan Fauve , Claude Laroche

In a set of experiments, Couder et. al. demonstrate that an oscillating fluid bed may propagate a bouncing droplet through the guidance of the surface waves. We present a dynamical systems model, in the form of an iterative map, for a…

混沌动力学 · 物理学 2015-06-04 David Shirokoff

In several natural and engineering systems, changes in control parameters can trigger bifurcations that lead to sustained or growing periodic oscillations, indicating the onset of oscillatory instabilities. Such emergent behaviour often…

流体动力学 · 物理学 2026-03-26 Rohit Radhakrishnan , Prasana Kumar , Induja Pavithran , R. I. Sujith

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

流体动力学 · 物理学 2018-06-20 Hua-Shu Dou

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…

混沌动力学 · 物理学 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

Coupled, nonlinear oscillators are often studied in applied biology, physics, fluids, and many other disciplines. In this paper, we study a parametrically driven, coupled oscillator system where the individual oscillators are subjected to…

动力系统 · 数学 2024-06-19 Andrew McMillan , Yin Lu Young , Mary Robinson

Spiral waves are self-repeating waves that can form in excitable media, propagating outward from their center in a spiral pattern. Spiral waves have been observed in different natural phenomena and have been linked to medical conditions…

元胞自动机与格子气 · 物理学 2020-08-11 Vincent Vangelista , Karl Amjad-Ali , Minhyeok Kwon , Paulo H. Acioli

Cardiac pulsations in the human brain have received recent interest due to their possible role in the pathogenesis of neurodegenerative diseases. Further interest stems from their possible application as an endogenous signal source that can…

数值分析 · 数学 2025-02-06 Lukas Weissinger , Simon Hubmer , Ronny Ramlau , Henning Uwe Voss

This paper sets out to explore the modulational (or Benjamin-Feir) instability of a monochromatic wave propagating in the presence of damping such as that induced by sea-ice on the ocean surface. The fundamental wave motion is modelled…

流体动力学 · 物理学 2026-03-12 Raphael Stuhlmeier , Conor Heffernan , Alberto Alberello , Emilian Părău

Interfacial waves arising in a two-phase swirling flow driven by a low-frequency rotating magnetic field (RMF) are studied. At low RMF frequencies, of the order of 1-10 Hz, the oscillatory part of the induced Lorenz force becomes comparable…

流体动力学 · 物理学 2024-01-09 Gerrit Maik Horstmann , Yakov Nezihovski , Thomas Gundrum , Alexander Gelfgat

We analyze the Eckhaus instability of plane waves in the one-dimensional complex Ginzburg-Landau equation (CGLE) and describe the nonlinear effects arising in the Eckhaus unstable regime. Modulated amplitude waves (MAWs) are quasi-periodic…

混沌动力学 · 物理学 2007-05-23 Lutz Brusch , Alessandro Torcini , Markus Baer