29 citations · 60 across the 14 of their papers we have counts for
3 papers · 1 filter
Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems
Samuel Jelbart, Christian Kuehn, Sara-Viola Kuntz
Geometric singular perturbation theory provides a powerful mathematical framework for the analysis of 'stationary' multiple time-scale systems which possess a critical manifold, i.…
Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation
Felix Hummel, Samuel Jelbart, Christian Kuehn
We present a rigorous analysis of the slow passage through a Turing bifurcation in the Swift-Hohenberg equation using a novel approach based on geometric blow-up. We show that the…
Discrete Geometric Singular Perturbation Theory
Samuel Jelbart, Christian Kuehn
We propose a mathematical formalism for discrete multi-scale dynamical systems induced by maps which parallels the established geometric singular perturbation theory for continuous…