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math.DS2025
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…
math.DS2023
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…