World's Best Scientists 2026 revealed!
Freddy Dumortier

Freddy Dumortier

D-Index & Metrics

Mathematics

D-Index
38
Citations
5323
World Ranking
2377
National Ranking
32

Freddy Dumortier publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Freddy Dumortier sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 140 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Freddy Dumortier D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Freddy Dumortier sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Freddy Dumortier is affiliated with Hasselt University in Belgium and has contributed extensively to the fields of Mathematics, Physics and Astronomy, and Computer Science. Their research spans multiple disciplines, including advanced differential equations, dynamical systems, quantum chaos, nonlinear dynamics, and mathematical physics.

The scientist has produced a considerable body of work with 17 publications in Mathematics, 15 in Physics and Astronomy, and 7 in Computer Science. Within these fields, their research further focuses on subfields such as:

  • Statistical and Nonlinear Physics
  • Geometry and Topology
  • Computer Networks and Communications
  • Mathematical Physics
  • Numerical Analysis

The main topics of interest cover:

  • Advanced Differential Equations and Dynamical Systems
  • Quantum chaos and dynamical systems
  • Nonlinear Dynamics and Pattern Formation
  • Stochastic dynamics and bifurcation
  • Advanced mathematical theories
  • Differential Equations and Numerical Methods
  • Advanced Thermodynamics and Statistical Mechanics

Freddy Dumortier has collaborated frequently with researchers Peter De Maesschalck and Robert Roussarie, each with a notable number of joint publications. Their works have been published predominantly in:

  • Journal of Differential Equations
  • Regular and Chaotic Dynamics
  • Nonlinearity

Some notable recent papers authored or coauthored by Dumortier include:

  • "A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral" (2022), Journal of Differential Equations
  • "Side-Comparison for Transition Maps in Multi-Layer Canard Problems" (2023), Regular and Chaotic Dynamics
  • "Corrigendum to "A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral"" (2024), Journal of Differential Equations
  • "A systematic study of two-dimensional 2-layer canard cycles" (2025), Nonlinearity

Dumortier has also authored a book titled Canard Cycles, published in 2021 by Springer International Publishing, which has been cited multiple times.

Best Publications

  • Canard Cycles and Center Manifolds

    Freddy Dumortier;Robert H. Roussarie

  • Singularities of vector fields on the plane

    Unknown

  • Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

    F. Dumortier;R. Roussarie;J. Sotomayor

  • Techniques in the Theory of Local Bifurcations: Blow-Up, Normal Forms, Nilpotent Bifurcations, Singular Perturbations

    Freddy Dumortier

  • Bifurcations of planar vector fields : nilpotent singularities and Abelian integrals

    Freddy Dumortier;Robert H. Roussarie;Jorge Sotomayor;Henryk Żoładek

  • Cubic Lienard equations with linear damping

    F Dumortier;C Rousseau

  • Hilbert′s 16th Problem for Quadratic Vector Fields

    Freddy Dumortier;R Roussarie;C Rousseau

  • Perturbations from an Elliptic Hamiltonian of Degree Four: I. Saddle Loop and Two Saddle Cycle☆

    Freddy Dumortier;Chengzhi Li

  • More limit cycles than expected in Liénard equations

    Freddy Dumortier;Daniel Panazzolo;Robert H. Roussarie

  • Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop

    Freddy Dumortier;Chengzhi Li

  • Perturbations from an Elliptic Hamiltonian of Degree Four

    Freddy Dumortier;Chengzhi Li

  • Time analysis and entry-exit relation near planar turning points

    P. De Maesschalck;F. Dumortier

  • Abelian integrals and limit cycles

    Freddy Dumortier;Robert Roussarie

  • On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations

    Freddy Dumortier;Chengzhi Li

  • Perturbation from an elliptic Hamiltonian of degree four—III global centre

    Freddy Dumortier;Chengzhi Li

  • Unfolding of a Quadratic Integrable System with Two Centers and Two Unbounded Heteroclinic Loops

    Freddy Dumortier;Chengzhi Li;Zifen Zhang

  • Multiple Canard Cycles in Generalized Liénard Equations

    Freddy Dumortier;Robert Roussarie

  • Classical Liénard equations of degree n⩾6 can have [n-1/2]+2 limit cycles

    P. De Maesschalck;F. Dumortier

  • Canard solutions at non-generic turning points

    Peter De Maesschalck;Freddy Dumortier

  • QUADRATIC LIENARD EQUATIONS WITH QUADRATIC DAMPING

    Unknown

  • GENERIC 3-PARAMETER FAMILIES OF PLANAR VECTOR-FIELDS, UNFOLDINGS OF SADDLE, FOCUS AND ELLIPTIC-SINGULARITIES WITH NILPOTENT LINEAR PARTS

    Freddy Dumortier;R Roussarie;J Sotomayor

  • Singularities of vector fields on

    F Dumortier;S Ibáñez

Frequent Co-Authors

Tasso J. Kaper
Tasso J. Kaper Boston University
Hendrik Broer
Hendrik Broer University of Groningen
Carles Simó
Carles Simó University of Barcelona
Floris Takens
Floris Takens University of Groningen
Martin Wechselberger
Martin Wechselberger University of Sydney

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