Geometric Singular Perturbation Theory Beyond Normal Hyperbolicity

By Freddy Dumortier, Robert Roussarie. 2001

55 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cd285c59b21e19182f4babe02a2ab5e762d03212

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Peter Szmolyan

In Geometry and Topology

1. Peter Szmolyan
2. Martin Krupa
3. Bjorn Sandstede
4. Ale Jan Homburg
5. Peter De Maesschalck
6. Ilona Gucwa
7. Martin Wechselberger
8. Christian Kuehn

In Statistical and Nonlinear Physics

1. Peter Szmolyan
2. Martin Krupa
3. Bjorn Sandstede
4. Ale Jan Homburg
5. Christian Kuehn
6. Martin Wechselberger
7. Peter De Maesschalck
8. Ilona Gucwa

Citations in the corpus

• Homoclinic and heteroclinic bifurcations in vector fields (2010, background): “If M0 is not normally hyperbolic, then geometric blowup can often be used to analyze the dynamics, and [120, 241] contain recent results in this direction.”
• Relaxation Oscillation and Canard Explosion (2001, background): “Related results on bifurcations of multiple canard cycles have been obtained in [4, 9, 10].”