Time analysis and entry–exit relation near planar turning points

By Peter De Maesschalck, Freddy Dumortier. 2005

82 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2cdec294375fa69a00b3ee069c6a09feae6213cb

How researchers see this paper

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

In Geometry and Topology

1. Freddy Dumortier
2. Peter De Maesschalck
3. Robert Roussarie
4. Stephen Schecter
5. Chengzhi Li
6. Peter Szmolyan
7. Ilona Gucwa
8. Huaiping Zhu

In Statistical and Nonlinear Physics

1. Freddy Dumortier
2. Peter De Maesschalck
3. Robert Roussarie
4. Stephen Schecter
5. Chengzhi Li
6. Peter Szmolyan
7. Ilona Gucwa

Citations in the corpus

• Cyclicity of common slow–fast cycles (2011, background): “A standard whirlpool neighborhood SW is a plane area bounded by the top half of the circle C1 of radius 1 around the origin, the bottom half of the circle C2 of radius 2 around the origin and the two horizontal segments I− = [−2,−1]×{0} and I+ = [1, 2]×{0} connecting both arcs, see Fig.”
• Slow Divergence Integral and Balanced Canard Solutions (2011, methodology): “In trying to use these results in surfaces one can proceed like in [ 3 ].”
• The entry-exit function and geometric singular perturbation theory (2015, background): “However, unless nongenericity conditions are imposed at the turning point [6], neither spherical blow-up of the turning point nor cylindrical blow-up along the x-axis appears to help with this problem.”