336 citations · 3.5k across the 72 of their papers we have counts for
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Nonautonomous Spectral Submanifolds for Model Reduction of Nonlinear Mechanical Systems under Parametric Resonance
Thomas Thurnher, George Haller, Shobhit Jain
We use the recent theory of Spectral Submanifolds (SSM) for model reduction of nonlinear mechanical systems subject to parametric excitations. Specifically, we develop expressions…
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…
Nonlinear Model Reduction to Fractional and Mixed-Mode Spectral Submanifolds
George Haller, Bálint Kaszás, Aihui Liu +1
A primary spectral submanifold (SSM) is the unique smoothest nonlinear continuation of a nonresonant spectral subspace of a dynamical system linearized at a fixed point. Passin…
Interplay between advective, diffusive, and active barriers in Rayleigh-Bénard flow
Nikolas Aksamit, Robert Hartmann, Detlef Lohse +1
Our understanding of the material organization of complex fluid flows has recently benefited from mathematical developments in the theory of objective coherent structures. These me…
Model reduction for nonlinearizable dynamics via delay-embedded spectral submanifolds
Joar Axås, George Haller
Delay embedding is a commonly employed technique in a wide range of data-driven model reduction methods for dynamical systems, including the Dynamic mode decomposition (DMD), the H…