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math.DS2023
Extending Discrete Geometric Singular Perturbation Theory to Non-Hyperbolic Points
Samuel Jelbart, Christian Kuehn
We extend the recently developed discrete geometric singular perturbation theory to the non-normally hyperbolic regime. Our primary tool is the Takens embedding theorem, which prov…
math.DS2023
A Formal Geometric Blow-up Method for Pattern Forming Systems
Samuel Jelbart, Christian Kuehn
We extend and apply a recently developed approach to the study of dynamic bifurcations in PDEs based on the geometric blow-up method. We show that this approach, which has so far o…