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This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

动力系统 · 数学 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Current design constraints have encouraged the studies of aeroacoustic fields around compressible jet flows. The present work addresses the numerical study of unsteady turbulent jet flows as a preparation for future aeroacoustic analyses of…

流体动力学 · 物理学 2023-01-13 Sami Yamouni , Carlos Junqueira-Junior , Joao Luiz F. Azevedo , William R. Wolf

Seismic datasets contain valuable information that originate from areas of interest in the subsurface; such seismic reflections are however inevitably contaminated by other events created by waves reverberating in the overburden.…

地球物理 · 物理学 2022-08-10 Matteo Ravasi , Tamil Selvan , Nick Luiken

Dynamic Mode Decomposition (DMD) is a data based modeling tool that identifies a matrix to map a quantity at some time instant to the same quantity in future. We design a new version which we call Adaptive Dynamic Mode Decomposition (ADMD)…

信号处理 · 电气工程与系统科学 2020-12-16 Mohammad N. Murshed , M. Monir Uddin

This paper discusses the application of Dynamic Mode Decomposition (DMD) to the extraction of modal properties of linear mechanical systems, i.e., experimental modal analysis (EMA). First, theoretical background of the DMD is briefly…

动力系统 · 数学 2026-03-17 Akira Saito , Tomohiro Kuno

Originally introduced in the fluid mechanics community, dynamic mode decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of nonlinear systems. However, existing DMD theory deals primarily with sequential time…

Magnetohydrodynamic (MHD) kink waves are ubiquitously observed in the solar atmosphere. The propagation and damping of these waves may play relevant roles for the transport and dissipation of energy in the solar atmospheric medium. However,…

太阳与恒星天体物理 · 物理学 2015-06-23 Roberto Soler , Jaume Terradas

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

计算工程、金融与科学 · 计算机科学 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

Recently it was found that helical magnetized flows efficiently amplify Alfv\'en waves (Rogava et al. 2003, A&A, v.399, p.421). This robust and manifold nonmodal effect was found to involve regimes of transient algebraic growth (for purely…

天体物理学 · 物理学 2009-11-07 Andria Rogava , Gianluigi Bodo , Silvano Massalgia , Zaza Osmanov

During the past two decades, the use of ambient vibrations for modal analysis of structures has increased as compared to the traditional techniques (forced vibrations). The Frequency Domain Decomposition method is nowadays widely used in…

地球物理 · 物理学 2008-05-13 Clotaire Michel , Philippe Guéguen , Pierre-Yves Bard

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

数值分析 · 数学 2021-07-28 Hannah Lu , Daniel M. Tartakovsky

This paper discusses the predictive capability of Dynamic Mode Decomposition (DMD) in the context of orbital mechanics. The focus is specifically on the Hankel variant of DMD which uses a stacked set of time-delayed observations for system…

系统与控制 · 电气工程与系统科学 2026-02-26 Sriram Narayanan , Mohamed Naveed Gul Mohamed , Indranil Nayak , Suman Chakravorty , Mrinal Kumar

This paper investigates the changes in spatial properties when magnetohydrodynamic (MHD) waves undergo resonant damping in the Alfv\'en continuum. The analysis is carried out for a 1D cylindrical pressure-less plasma with a straight…

太阳与恒星天体物理 · 物理学 2020-09-18 M. Goossens , I. Arregui , R. Soler , T. Van Doorsselaere

Plasma turbulence is a ubiquitous dynamical process that transfers energy across many spatial and temporal scales and affects energetic particle transport. Recent advances in the understanding of compressible magnetohydrodynamic (MHD)…

太阳与恒星天体物理 · 物理学 2024-02-09 Siqi Zhao , Huirong Yan , Terry Z. Liu , Ka Ho Yuen , Mijie Shi

The theory of magnetohydrodynamic (MHD) turbulence predicts that Alfv\'enic and slow-mode-like compressive fluctuations are energetically decoupled at small scales in the inertial range. The partition of energy between these fluctuations…

高能天体物理现象 · 物理学 2022-06-10 Y. Kawazura , A. A. Schekochihin , M. Barnes , W. Dorland , S. A. Balbus

Context. Magnetohydrodynamic (MHD) waves are ubiquitous in the solar atmosphere. In magnetic waveguides resonant absorption due to plasma inhomogeneity naturally transfers wave energy from large-scale motions to small-scale motions. In the…

太阳与恒星天体物理 · 物理学 2015-06-03 R. Soler , J. Andries , M. Goossens

Magnetohydrodynamics (MHD) couples the Navier--Stokes and Maxwell equations into a nonlinear system of partial differential equations governing stellar interiors, astrophysical jets, fusion plasmas, and space weather. Numerical advances,…

高能天体物理现象 · 物理学 2026-05-20 E. A. Huerta

This work continues the parametric investigation on the sampling nuances of the Dynamic Mode Decomposition (DMD) under the Koopman analysis. Through turbulent wakes, the investigation corroborated the generality of the universal convergence…

Measurements of solar wind turbulence reveal the ubiquity of discontinuities. In this study, we investigate how the discontinuities, especially rotational discontinuities (RDs), are formed in magnetohydrodynamic (MHD) turbulence. In a…

太阳与恒星天体物理 · 物理学 2015-09-09 Liping Yang , Lei Zhang , Jiansen He , Chuanyi Tu , Linghua Wang , Eckart Marsch , Xin Wang , Shaohua Zhang , Xueshang Feng

We investigate the spatiotemporal structure of simulations of the homogeneous slab and isothermal plane models for the vertical motion in the Galactic disc. We use Dynamic Mode Decomposition (DMD) to compute eigenfunctions of the simulated…

星系天体物理 · 物理学 2019-09-17 Keir Darling , Lawrence M. Widrow