43 citations · 52 across the 4 of their papers we have counts for
4 papers
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…
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…
Universal Upper Estimate for Prediction Errors under Moderate Model Uncertainty
Bálint Kaszás, George Haller
We derive universal upper estimates for model-prediction error under moderate but otherwise unknown model uncertainty. Our estimates give upper bounds on the leading order trajecto…
The Snowball Earth transition in a climate model with drifting parameters
Bálint Kaszás, Tímea Haszpra, Mátyás Herein
Using an intermediate complexity climate model (Planet Simulator), we investigate the so-called Snowball Earth transition. For certain values of the solar constant, the climate sys…