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math.DS2025
SINDy on slow manifolds
Diemen Delgado-Cano, Erick Kracht, Urban Fasel +1
The sparse identification of nonlinear dynamics (SINDy) has been established as an effective method to learn interpretable models of dynamical systems from data. However, for high-…
math.DS2024
Interpretable low-order representation of eigenmode deformation in parameterized dynamical systems
Nicolas Torres-Ulloa, Erick Kracht, Urban Fasel +1
Modal analysis has long been consolidated as a basic tool to interpret dynamics and build low-order models of mechanical, thermal, and fluid systems. Eigenmodes arising from the sp…
math.DS2024
Multi-objective SINDy for parameterized model discovery from single transient trajectory data
Javier A. Lemus, Benjamin Herrmann
The sparse identification of nonlinear dynamics (SINDy) has been established as an effective technique to produce interpretable models of dynamical systems from time-resolved state…