Freddy Dumortier

5.2k total citations · 2 hit papers
105 papers, 3.5k citations indexed

About

Freddy Dumortier is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, Freddy Dumortier has authored 105 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 86 papers in Geometry and Topology, 54 papers in Statistical and Nonlinear Physics and 26 papers in Mathematical Physics. Recurrent topics in Freddy Dumortier's work include Advanced Differential Equations and Dynamical Systems (85 papers), Quantum chaos and dynamical systems (46 papers) and Mathematical Dynamics and Fractals (20 papers). Freddy Dumortier is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (85 papers), Quantum chaos and dynamical systems (46 papers) and Mathematical Dynamics and Fractals (20 papers). Freddy Dumortier collaborates with scholars based in Belgium, France and United States. Freddy Dumortier's co-authors include Robert Roussarie, Jaume Llibre, Peter De Maesschalck, Chengzhi Li, Christiane Rousseau, Chengzhi Li, Jorge Sotomayor, Santiago González-Varas Ibáñez, Hiroshi Kokubu and Carmen Chicone and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Freddy Dumortier

102 papers receiving 3.2k citations

Hit Papers

Qualitative Theory of Planar Differential Systems 1996 2026 2006 2016 2006 1996 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Qualitative Theory of Planar Differential Systems
    2006 605 citations Freddy Dumortier, Jaume Llibre et al. profile →
  2. Canard cycles and center manifolds
    1996 300 citations Freddy Dumortier, Robert Roussarie profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Freddy Dumortier Belgium 33 2.5k 2.0k 794 764 458 105 3.5k
Robert Roussarie France 23 1.6k 0.7× 1.2k 0.6× 571 0.7× 506 0.7× 430 0.9× 80 2.4k
Maoan Han China 40 3.5k 1.4× 3.0k 1.5× 1.2k 1.5× 2.0k 2.6× 336 0.7× 348 6.1k
Carmen Chicone United States 23 926 0.4× 1.1k 0.5× 318 0.4× 245 0.3× 409 0.9× 117 2.8k
Christiane Rousseau Canada 21 1.1k 0.5× 756 0.4× 224 0.3× 345 0.5× 173 0.4× 72 1.4k
Armengol Gasull Spain 27 2.4k 1.0× 1.5k 0.8× 112 0.1× 444 0.6× 282 0.6× 198 2.7k
Marco Antônio Teixeira Brazil 25 1.6k 0.6× 1.1k 0.5× 242 0.3× 261 0.3× 173 0.4× 119 1.9k
Clàudìa Valls Portugal 22 1.4k 0.5× 1.4k 0.7× 332 0.4× 286 0.4× 425 0.9× 477 2.7k
Jan A. Sanders Netherlands 20 888 0.4× 1.5k 0.7× 549 0.7× 100 0.1× 245 0.5× 70 2.9k
Neil Fenichel Canada 8 483 0.2× 1.9k 0.9× 1.2k 1.6× 493 0.6× 436 1.0× 11 3.1k
Jean–Pierre Françoise France 17 736 0.3× 619 0.3× 100 0.1× 124 0.2× 123 0.3× 82 1.2k

Countries citing papers authored by Freddy Dumortier

Since Specialization
Citations

This map shows the geographic impact of Freddy Dumortier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Freddy Dumortier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Freddy Dumortier more than expected).

Fields of papers citing papers by Freddy Dumortier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Freddy Dumortier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Freddy Dumortier. The network helps show where Freddy Dumortier may publish in the future.

Co-authorship network of co-authors of Freddy Dumortier

This figure shows the co-authorship network connecting the top 25 collaborators of Freddy Dumortier. A scholar is included among the top collaborators of Freddy Dumortier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Freddy Dumortier. Freddy Dumortier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Coll, B., Freddy Dumortier, & R. Prohens. (2013). Configurations of limit cycles in Liénard equations. Journal of Differential Equations. 255(11). 4169–4184. 7 indexed citations
2.
Dumortier, Freddy & Tasso J. Kaper. (2012). Wave speeds for pushed fronts in reaction-diffusion equations with cut-offs : Dedicated to Professor Yasumasa Nishiura on the occasion of his sixtieth birthday (Far-From-Equilibrium Dynamics). Kyoto University Research Information Repository (Kyoto University). 31(31). 117–134.
3.
Maesschalck, Peter De, Freddy Dumortier, & Robert Roussarie. (2011). Cyclicity of common slow–fast cycles. Indagationes Mathematicae. 22(3-4). 165–206. 33 indexed citations
4.
Maesschalck, Peter De & Freddy Dumortier. (2010). Classical Liénard equations of degree n⩾6 can have [n−12]+2 limit cycles. Journal of Differential Equations. 250(4). 2162–2176. 47 indexed citations
5.
Maesschalck, Peter De & Freddy Dumortier. (2009). Singular perturbations and vanishing passage through a turning point. Journal of Differential Equations. 248(9). 2294–2328. 19 indexed citations
6.
Artés, Joan C., Freddy Dumortier, & Jaume Llibre. (2008). Limit cycles near hyperbolas in quadratic systems. Journal of Differential Equations. 246(1). 235–260. 9 indexed citations
7.
Dumortier, Freddy & Robert Roussarie. (2007). Multi-layer canard cycles and translated power functions. Journal of Differential Equations. 244(6). 1329–1358. 7 indexed citations
8.
Dumortier, Freddy, et al.. (2006). The asymptotic critical wave speed in a family of scalar reaction–diffusion equations. Journal of Mathematical Analysis and Applications. 326(2). 1007–1023. 13 indexed citations
9.
Dumortier, Freddy. (2006). Asymptotic phase and invariant foliations near periodic orbits. Proceedings of the American Mathematical Society. 134(10). 2989–2996. 4 indexed citations
10.
Dumortier, Freddy, Henk Broer, Jean Mawhin, André Vanderbauwhede, & Sjoerd M. Verduyn Lunel. (2005). EQUADIFF 2003: proceedings of the International Conference on Differential Equations, Hasselt, Belgium, 22-26 July 2003. Document Server@UHasselt (UHasselt). 5 indexed citations
11.
Dumortier, Freddy. (2005). Compactification and desingularization of spaces of polynomial Liénard equations. Journal of Differential Equations. 224(2). 296–313. 32 indexed citations
12.
Maesschalck, Peter De & Freddy Dumortier. (2005). Time analysis and entry–exit relation near planar turning points. Journal of Differential Equations. 215(2). 225–267. 57 indexed citations
13.
Dumortier, Freddy & Chengzhi Li. (2003). Perturbation from an elliptic Hamiltonian of degree four—III global centre. Journal of Differential Equations. 188(2). 473–511. 61 indexed citations
14.
Dumortier, Freddy & Chengzhi Li. (2001). Perturbations from an Elliptic Hamiltonian of Degree Four. Journal of Differential Equations. 176(1). 114–157. 83 indexed citations
15.
Dumortier, Freddy & Robert Roussarie. (2001). Multiple Canard Cycles in Generalized Liénard Equations. Journal of Differential Equations. 174(1). 1–29. 57 indexed citations
16.
Dumortier, Freddy, et al.. (1995). Transition Time Analysis in Singularly Perturbed Boundary Value Problems. Transactions of the American Mathematical Society. 347(10). 4129–4129. 3 indexed citations
17.
Dumortier, Freddy, et al.. (1995). Transition time analysis in singularly perturbed boundary value problems. Transactions of the American Mathematical Society. 347(10). 4129–4145. 4 indexed citations
18.
Chicone, Carmen & Freddy Dumortier. (1988). A quadratic system with a nonmonotonic period function. Proceedings of the American Mathematical Society. 102(3). 706–710. 22 indexed citations
19.
Melo, W. de & Freddy Dumortier. (1988). A type of moduli for saddle connections of planar diffeomorphisms. Journal of Differential Equations. 75(1). 88–102. 4 indexed citations
20.
Dumortier, Freddy, Robert Roussarie, & Jorge Sotomayor. (1987). Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Ergodic Theory and Dynamical Systems. 7(3). 375–413. 167 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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