12 citations · 13 across the 4 of their papers we have counts for
5 papers
Parametric Spectral Submanifolds across Hopf Bifurcations with Applications to Fluid Dynamics
James King, Bálint Kaszás, Gergely Buza +2
We investigate the persistence and regularity of spectral submanifolds (SSMs) in high-dimensional parametric dynamical systems undergoing a Hopf bifurcation. By analyzing how reson…
Predicting Generalized Steady States in Aperiodically Forced Mechanical Systems
Roshan S. Kaundinya, Isabella Thiel, Bálint Kaszás +2
The existence of generalized steady states (GSSs) in nonlinear mechanical systems under moderate temporally aperiodic forcing has only been shown recently. Here we derive systemati…
Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics
A. Encinas-Bartos, B. Kaszás, S. Servidio +1
Recent work has identified objective (frame-indifferent) material barriers that inhibit the transport of dynamically active vectorial quantities (such as linear momentum, angular m…
The Objective Deformation Component of a Velocity Field
Bálint Kaszás, Tiemo Pedergnana, George Haller
For an arbitrary velocity field defined on a finite, fixed spatial domain, we find the closest rigid-body velocity field to in the …
Dynamics-based machine learning of transitions in Couette flow
Bálint Kaszás, Mattia Cenedese, George Haller
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…