100 citations · 316 across the 24 of their papers we have counts for
4 papers · 1 filter
Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves
Matteo Gallone, Antonio Ponno, Bob Rink
In this paper we construct a higher order expansion of the manifold of quasi unidirectional waves in the Fermi-Pasta-Ulam (FPU) chain. We also approximate the dynamics on this mani…
Multiple timescales and the parametrisation method in geometric singular perturbation theory
Ian Lizarraga, Bob Rink, Martin Wechselberger
We present a novel method for computing slow manifolds and their fast fibre bundles in geometric singular perturbation problems. This coordinate-independent method is inspired by t…
Quiver representations and dimension reduction in dynamical systems
Eddie Nijholt, Soeren Schwenker, Bob Rink
Dynamical systems often admit geometric properties that must be taken into account when studying their behaviour. We show that many such properties can be encoded by means of quive…
More on the parameterization method for center manifolds
Jan Bouwe van den Berg, Wouter Hetebrij, Bob Rink
In a previous paper we generalized the parameterization method of Cabré, Fontich and De la Llave to center manifolds of discrete dynamical systems. In this paper, we extend this re…