Freddy Dumortier

2001–2011

A researcher in the Science corpus: 16 papers; trusts 5 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Whom Freddy Dumortier trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Peter De Maesschalck
2. Robert Roussarie
3. John M. Guckenheimer
4. Martin Krupa
5. Philip J. Holmes
6. Chengzhi Li
7. Peter Szmolyan

Who trusts Freddy Dumortier overall

1. Chengzhi Li
2. Peter De Maesschalck
3. Ilona Gucwa
4. Jaume Llibre
5. Maite Grau
6. Peter Szmolyan
7. Jihua Wang
8. Huaiping Zhu
9. Xiang Zhang
10. Feng Li

Papers from Freddy Dumortier's perspective

Ordered by how strongly the researchers Freddy Dumortier trusts endorse each paper. Same corpus, a different order for every researcher.

1. Relaxation Oscillation and Canard Explosion
2. Slow Divergence Integral and Balanced Canard Solutions
3. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
4. Multiple Canard Cycles in Generalized Liénard Equations
5. Canard solutions at non-generic turning points
6. Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions (SIAM Journal on Mathematical Analysis)
7. A quantitative description of membrane current and its application to conduction and excitation in nerve
8. Mixed Mode Oscillations due to the Generalized Canard Phenomenon
9. Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students (Software, environments, tools)
10. Canards in R3

Their papers

• Slow Divergence Integral and Balanced Canard Solutions (2011) — 49 citations
• Cyclicity of common slow–fast cycles (2011) — 52 citations
• Classical Liénard equations of degree n⩾6 can have [n−12]+2 limit cycles (2011) — 75 citations
• Birth of canard cycles (2009) — 62 citations
• More limit cycles than expected in Liénard equations (2007) — 106 citations
• Qualitative Theory of Planar Differential Systems (2006) — 986 citations
• Abelian integrals and limit cycles (2006) — 51 citations
• Time analysis and entry–exit relation near planar turning points (2005) — 82 citations
• Canard solutions at non-generic turning points (2005) — 64 citations
• Perturbation from an elliptic Hamiltonian of degree four—III global centre (2003) — 75 citations
• Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop (2003) — 119 citations
• New aspects in the unfolding of the nilpotent singularity of codimension three (2001) — 49 citations
• Perturbations from an Elliptic Hamiltonian of Degree Four (2001) — 127 citations
• Perturbations from an Elliptic Hamiltonian of Degree Four: I. Saddle Loop and Two Saddle Cycle☆ (2001) — 119 citations
• Multiple Canard Cycles in Generalized Liénard Equations (2001) — 79 citations
• Geometric Singular Perturbation Theory Beyond Normal Hyperbolicity (2001) — 55 citations