World's Best Scientists 2026 revealed!
Martin Wechselberger

Martin Wechselberger

D-Index & Metrics

Mathematics

D-Index
30
Citations
4056
World Ranking
3509
National Ranking
81

Martin Wechselberger 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 Martin Wechselberger 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: 77 publications — 3rd percentile

3% of scientists in this discipline score the same or lower.

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

Martin Wechselberger 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 Martin Wechselberger 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Martin Wechselberger is affiliated with the University of Sydney in Australia. Their research spans multiple fields including Physics and Astronomy, Mathematics, and Computer Science, with significant contributions across these disciplines.

Wechselberger's main areas of study include:

  • Nonlinear Dynamics and Pattern Formation
  • Stochastic Dynamics and Bifurcation
  • Advanced Differential Equations and Dynamical Systems
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Differential Equations and Numerical Methods
  • Quantum Chaos and Dynamical Systems
  • Advanced Thermodynamics and Statistical Mechanics

They have published extensively on subfields such as Statistical and Nonlinear Physics, Computer Networks and Communications, Geometry and Topology, Numerical Analysis, and Public Health, Environmental and Occupational Health.

Recent papers authored or co-authored by Wechselberger include:

  • "Two-stroke relaxation oscillators," 2020, Nonlinearity
  • "Local Theory for Spatio-Temporal Canards and Delayed Bifurcations," 2020, SIAM Journal on Mathematical Analysis
  • "Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion," 2021, Physica D Nonlinear Phenomena
  • "(In)stability of Travelling Waves in a Model of Haptotaxis," 2020, SIAM Journal on Applied Mathematics
  • "Singularly Perturbed Oscillators with Exponential Nonlinearities," 2021, Journal of Dynamics and Differential Equations

Their frequent co-authors include Robert Marangell, Ian Lizarraga, Samuel Jelbart, Bronwyn H. Bradshaw-Hajek, and Bob Rink.

Wechselberger has contributed to several publication venues, with notable frequent appearances in:

  • arXiv (Cornell University)
  • Nonlinearity
  • SIAM Journal on Applied Dynamical Systems
  • Physica D Nonlinear Phenomena
  • SIAM Journal on Mathematical Analysis

They have published a book titled Geometric Singular Perturbation Theory Beyond the Standard Form (2020) under Springer International Publishing.

Best Publications

  • Mixed-Mode Oscillations with Multiple Time Scales

    Mathieu Desroches;John Guckenheimer;Bernd Krauskopf;Christian Kuehn

  • Canards in R3

    Peter Szmolyan;Martin Wechselberger

  • Existence and Bifurcation of Canards in R^3 in the Case of a Folded Node

    Martin Wechselberger

  • Mixed Mode Oscillations due to the Generalized Canard Phenomenon

    Morten Brøns;Martin Krupa;Martin Wechselberger

  • Local analysis near a folded saddle-node singularity

    Martin Krupa;Martin Wechselberger

  • Giant squid-hidden canard: the 3D geometry of the Hodgkin–Huxley model

    Jonathan Rubin;Martin Wechselberger

  • Relaxation oscillations in R3

    P. Szmolyan;M. Wechselberger

  • À propos de canards (Apropos canards)

    Martin Wechselberger

  • Geometric Singular Perturbation Theory Beyond the Standard Form

    Martin Wechselberger

  • The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales.

    Jonathan Rubin;Martin Wechselberger

  • Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model ∗

    Horacio G. Rotstein;Martin Wechselberger;Nancy Kopell

  • Chaotic attractors of relaxation oscillators

    John Guckenheimer;Martin Wechselberger;Lai Sang Young

  • The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization.

    Ghanim Ullah;Yina Wei;Markus A Dahlem;Martin Wechselberger

  • Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics

    Emily P. Harvey;Vivien Kirk;Martin Wechselberger;James Sneyd

  • The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network

    Janet Best;Alla Borisyuk;Jonathan E. Rubin;David Terman

  • Mixed mode oscillations as a mechanism for pseudo-plateau bursting

    Theodore Vo;Richard Bertram;Joel Tabak;Martin Wechselberger

  • Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model

    Bard Ermentrout;Martin Wechselberger

  • Excitable Neurons, Firing Threshold Manifolds and Canards

    John Mitry;Michelle McCarthy;Nancy Kopell;Martin Wechselberger

  • Bifurcations of mixed-mode oscillations in a stellate cell model

    Martin Wechselberger;Warren Weckesser

  • Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting

    Theodore Vo;Richard Bertram;Martin Wechselberger

Frequent Co-Authors

Richard Bertram
Richard Bertram Florida State University
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
Hinke M. Osinga
Hinke M. Osinga University of Auckland
Nancy Kopell
Nancy Kopell Boston University
Christopher K. R. T. Jones
Christopher K. R. T. Jones University of North Carolina at Chapel Hill
John Guckenheimer
John Guckenheimer Cornell University
Matthew J. Simpson
Matthew J. Simpson Queensland University of Technology
John Rinzel
John Rinzel New York University
Steven J. Schiff
Steven J. Schiff Yale University
Georgia A. Bishop
Georgia A. Bishop The Ohio State University

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