3 papers
math.DS2019
Invariant spectral foliations with applications to model order reduction and synthesis
Robert Szalai
The paper introduces a technique that decomposes the dynamics of a nonlinear system about an equilibrium into low order components, which then can be used to reconstruct the full d…
math.DS2018
Conservative limit of two-dimensional spectral submanifolds
Robert Szalai
The paper is withdrawn. The proof has an error and it requires a different approach.
physics.bio-ph2015
Nonlinear dynamics of the mammalian inner ear
Robert Szalai, Alan R. Champneys, Martin Homer
A simple nonlinear transmission-line model of the cochlea with longitudinal coupling is introduced that can reproduce Basilar membrane response and neural tuning in the chinchilla.…