6 papers
Joint Reduced Model for the Laminar and Chaotic Attractors in Plane Couette Flow
Bálint Kaszás, George Haller
We use the theory of spectral submanifolds (SSMs) to develop a low-dimensional reduced-order model for plane Couette flow in the permanently chaotic regime studied by Kreilos & Eck…
Globalizing manifold-based reduced models for equations and data
Bálint Kaszás, George Haller
One of the very few mathematically rigorous nonlinear model reduction methods is the restriction of a dynamical system to a low-dimensional, sufficiently smooth, attracting invaria…
Data-Driven Linearization of Dynamical Systems
George Haller, Bálint Kaszás
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…
Data-driven modeling of the regular and chaotic dynamics of an inverted flag from experiments
Zhenwei Xu, Bálint Kaszás, Mattia Cenedese +3
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 obta…
Capturing the Edge of Chaos as a Spectral Submanifold in Pipe Flows
Bálint Kaszás, George Haller
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 bou…
Variational construction of tubular and toroidal streamsurfaces for flow visualization
Mingwu Li, Bálint Kaszás, George Haller
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…