4 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 Nonlinear Model Reduction to Spectral Submanifolds via Oblique Projection
Leonardo Bettini, Bálint Kaszás, Bernhard Zybach +2
The dynamics in a primary Spectral Submanifold (SSM) constructed over the slowest modes of a dynamical system provide an ideal reduced-order model for nearby trajectories. Modeling…
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…