45 citations · 146 across the 16 of their papers we have counts for
Showing 2024Show all
2 papers · 1 filter
math.DS2024
Non-resonant invariant foliations of quasi-periodically forced systems
Robert Szalai
We show the existence and uniqueness of invariant foliations about invariant tori in analytic discrete-time dynamical systems. The parametrisation method is used prove the result.…
math.DS2024★ 1 cited
Machine-learning invariant foliations in forced systems for reduced order modelling
Robert Szalai
We identify reduced order models (ROM) of forced systems from data using invariant foliations. The forcing can be external, parametric, periodic or quasi-periodic. The process has…