Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Kaszás, Bálint"'
Autor:
Haller, George, Kaszás, Bálint
Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly in others,
Externí odkaz:
http://arxiv.org/abs/2407.08177
Autor:
Xu, Zhenwei, Kaszás, Bálint, Cenedese, Mattia, Berti, Giovanni, Coletti, Filippo, Haller, George
We use video footage of a water tunnel experiment to construct a two-dimensional reduced-order model of the flapping dynamics of an inverted flag in uniform flow. The model is obtained as the reduced dynamics on an attracting spectral submanifold (SS
Externí odkaz:
http://arxiv.org/abs/2402.08504
Autor:
Kaszás, Bálint, Haller, George
An extended turbulent state can coexist with the stable laminar state in pipe flows. We focus here on short pipes with additional discrete symmetries imposed. In this case, the boundary between the coexisting basins of attraction, often called the ed
Externí odkaz:
http://arxiv.org/abs/2311.06800
Approximate streamsurfaces of a 3D velocity field have recently been constructed as isosurfaces of the closest first integral of the velocity field. Such approximate streamsurfaces enable effective and efficient visualization of vortical regions in 3
Externí odkaz:
http://arxiv.org/abs/2307.00730
A primary spectral submanifold (SSM) is the unique smoothest nonlinear continuation of a nonresonant spectral subspace $E$ of a dynamical system linearized at a fixed point. Passing from the full nonlinear dynamics to the flow on an attracting primar
Externí odkaz:
http://arxiv.org/abs/2305.15796
For an arbitrary velocity field $\mathbf{v}$ defined on a finite, fixed spatial domain, we find the closest rigid-body velocity field $\mathbf{v}_{RB}$ to $\mathbf{v}$ in the $L^2$ norm. The resulting deformation velocity component, $\mathbf{v}_{d}=\
Externí odkaz:
http://arxiv.org/abs/2212.06617
Publikováno v:
B. Kasz\'as, M. Cenedese, G. Haller, Dynamics-based machine learning of transitions in Couette flow, Phys. Rev. Fluids 7, L082402 (2022)
We derive low-dimensional, data-driven models for transitions among exact coherent states (ECSs) in one of the most studied canonical shear flows, the plane Couette flow. These one- or two-dimensional nonlinear models represent the leading-order redu
Externí odkaz:
http://arxiv.org/abs/2203.13098
Autor:
Kaszás, Bálint, Haller, George
We derive universal upper estimates for model-prediction error under moderate but otherwise unknown model uncertainty. Our estimates give upper bounds on the leading order trajectory-uncertainty arising along model trajectories, solely as functions o
Externí odkaz:
http://arxiv.org/abs/2007.07330
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Using an intermediate complexity climate model (Planet Simulator), we investigate the so-called Snowball Earth transition. For certain values of the solar constant, the climate system allows two different stable states: one of them is the Snowball Ea
Externí odkaz:
http://arxiv.org/abs/1906.00952