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Spectra derived from fast Fourier transform (FFT) analysis of time-domain data intrinsically contain statistical fluctuations whose distribution depends on the number of accumulated spectra contributing to a measurement. The tail of this…

太阳与恒星天体物理 · 物理学 2015-06-19 Gelu M. Nita , Gregory D. Fleishman , Dale E. Gary , William Marin , Kristine Boone

We propose an alternative to the standard mechanisms for the formation of rogue waves in a non-conservative, nonlinear lattice dynamical system. We consider an ODE system that features regular periodic bursting arising from forced symmetry…

斑图形成与孤子 · 物理学 2022-08-17 Priya Subramanian , Edgar Knobloch , P. G. Kevrekidis

The rapid growth of wind power generation has led to increased interest in understanding and mitigating the adverse effects of wind turbine wakes and forced oscillations in wind farms. In this paper, we model a wind farm consisting of three…

系统与控制 · 电气工程与系统科学 2023-06-22 K. Victor Sam Moses Babu , Pratyush Chakraborty , Mayukha Pal

The oscillation phenomena associated with the control of voltage source converters (VSCs) are widely concerning, and locating the source of these oscillations is crucial to suppressing them; therefore, this paper presents a locating scheme,…

系统与控制 · 电气工程与系统科学 2023-02-20 Zetian Zheng , Shaowei Huang , Jun Yan , Qiangsheng Bu , Chen Shen , Mingzhong Zheng , Ye Liu

The long therm behavior of chaotic flows is investigated by means of time dependent frequency analysis. The system under test consists of an electrically conducting fluid, confined between two differentially rotating spheres. The spherical…

流体动力学 · 物理学 2021-02-24 Ferran Garcia , Martin Seilmayer , André Giesecke , Frank Stefani

We consider a discrete dynamical system with internal degrees of freedom (DOF). Due to the symmetry between the internal DOFs, certain internal modes cannot be excited by external forcing (in a case of linear interactions) and thus are…

可精确求解与可积系统 · 物理学 2018-07-31 Nathan Perchikov , O. V. Gendelman

A series of short time stochastic resonance (SR) phenomena, realized in a bistable receiver, can be utilized to convey train of information represented by frequency-shift keying (FSK) signals. It is demonstrated that the SR regions of the…

软凝聚态物质 · 物理学 2007-05-23 Fabing Duan , Derek Abbott

This paper describes an active power filter (APF) control strategy, which eliminates harmonics and compensates reactive power in a three-phase four-wire power system supplying non-linear unbalanced loads in the presence of non-linear…

最优化与控制 · 数学 2012-06-11 Vin Cent Tai , Phen Chiak See , Marta Molinas , Kjetil Uhlen

This paper presents a framework grounded in the theory of describing function (DF) and incremental-input DF to theoretically analyze the nonlinear oscillatory response of automated vehicles (AVs) car-following (CF) amidst traffic…

系统与控制 · 电气工程与系统科学 2026-01-06 Sixu Li , Yang Zhou

The Synchrosqueezing transform is a time-frequency analysis method that can decompose complex signals into time-varying oscillatory components. It is a form of time-frequency reassignment that is both sparse and invertible, allowing for the…

计算工程、金融与科学 · 计算机科学 2014-05-01 Gaurav Thakur

The flow-driven spectral chaos (FSC) is a recently developed method for tracking and quantifying uncertainties in the long-time response of stochastic dynamical systems using the spectral approach. The method uses a novel concept called…

数值分析 · 数学 2022-07-22 Hugo Esquivel , Arun Prakash , Guang Lin

We outline a general theory for the analysis of flow-distributed standing and travelling wave patterns in one-dimensional, open plug-flows of oscillatory chemical media. We treat both the amplitude and phase dynamics of small and…

斑图形成与孤子 · 物理学 2009-11-10 Patrick N. McGraw , Michael Menzinger

The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

混沌动力学 · 物理学 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo

Systems in nature are stochastic as well as nonlinear. In traditional applications, engineered filters aim to minimize the stochastic effects caused by process and measurement noise. Conversely, a previous study showed that the process…

系统与控制 · 电气工程与系统科学 2024-07-11 Burak Boyacıoğlu , Mahnoush Babaei , Amanuel H. Mamo , Sarah Bergbreiter , Thomas L. Daniel , Kristi A. Morgansen

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at…

patt-sol · 物理学 2009-10-31 Christian Elphick , Aric Hagberg , Ehud Meron

We discuss how matrix-free/timestepper algorithms can efficiently be used with dynamic non-Newtonian fluid mechanics simulators in performing systematic stability/bifurcation analysis. The timestepper approach to bifurcation analysis of…

动力系统 · 数学 2013-10-02 M. E. Kavousanakis , L. Russo , C. I. Siettos , A. G. Boudouvis , G. C. Georgiou

Neural ODEs (NODEs) have emerged as powerful tools for modeling time series data, offering the flexibility to adapt to varying input scales and capture complex dynamics. However, they face significant challenges: first, their reliance on…

机器学习 · 计算机科学 2025-10-07 Muhao Guo , Yang Weng

We examine examples of weakly nonlinear systems whose steady states undergo a bifurcation with increasing forcing, such that a forced subsystem abruptly ceases to absorb additional energy, instead diverting it into an initially quiescent,…

斑图形成与孤子 · 物理学 2018-05-15 H. G. Wood , A. Roman , J. A. Hanna

We explore the free boson unitary dynamics subject to repeated random forced measurement. The input state is chosen as a Fock state in real space with the particle number conserved in the entire dynamics. We show that each boson is…

量子物理 · 物理学 2021-10-26 Xiao Chen

The periodic, inverse scattering transform (PIST) is a powerful analytical tool in the theory of integrable, nonlinear evolution equations. Osborne pioneered the use of the PIST in the analysis of data form inherently nonlinear physical…

流体动力学 · 物理学 2009-09-22 Ivan Christov
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