World's Best Scientists 2026 revealed!
John Guckenheimer

John Guckenheimer

D-Index & Metrics

Mathematics

D-Index
64
Citations
56085
World Ranking
398
National Ranking
211

John Guckenheimer 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 John Guckenheimer 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: 186 publications — 56th percentile

56% of scientists in this discipline score the same or lower.

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

John Guckenheimer 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 John Guckenheimer 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: 64 D-Index — 89th percentile

89% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2013 - Steele Prize for Mathematical Exposition
  • 2009 - SIAM Fellow For contributions to theoretical and computational dynamical systems and mathematical neuroscience.
  • 2008 - Fellow of the American Academy of Arts and Sciences
  • 2001 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1983 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

John Guckenheimer is affiliated with Cornell University in the United States and specializes in mathematics, focusing primarily on advanced differential equations and dynamical systems. Their research spans several subfields including geometry and topology, nature and landscape conservation, applied mathematics, mathematical physics, and statistics and probability.

Their recent publications cover various aspects of dynamical systems and geometric analysis. Notable papers include:

  • "Mode switching in organisms for solving explore-versus-exploit problems," 2023, published in Nature Machine Intelligence
  • "Dense lines of curvature on convex surfaces," 2020, published in Proceedings of the American Mathematical Society
  • "Continuation methods for principal foliations of embedded surfaces," 2022, published in Journal of Computational Dynamics
  • "Staying the course: iteratively locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds," 2022, published in Journal of Mathematical Chemistry
  • "Principal Foliations of Surfaces near Ellipsoids," 2021, published in New Zealand Journal of Mathematics

Their frequent coauthors include Debojyoti Biswas, Andrew Lamperski, Yu Yang, Kathleen Hoffman, and Eric S. Fortune.

John Guckenheimer's work has been published in a range of venues such as:

  • Nature Machine Intelligence
  • Journal of Computational Dynamics
  • Journal of Mathematical Chemistry
  • Proceedings of the American Mathematical Society
  • New Zealand Journal of Mathematics

The primary fields of study and topics covered in their research are:

  • Mathematics

  • Geometry and Topology
  • Nature and Landscape Conservation
  • Applied Mathematics
  • Mathematical Physics
  • Statistics and Probability

  • Advanced Differential Equations and Dynamical Systems
  • Geometric Analysis and Curvature Flows
  • Fish biology, ecology, and behavior
  • Mathematical Dynamics and Fractals
  • Markov Chains and Monte Carlo Methods
  • Gaussian Processes and Bayesian Inference
  • Fish Ecology and Management Studies

The scientist has received several honors including:

  • Fellow of the American Mathematical Society, 2013
  • Steele Prize for Mathematical Exposition, 2013
  • SIAM Fellow, 2009, for contributions to theoretical and computational dynamical systems and mathematical neuroscience
  • Fellow of the American Academy of Arts and Sciences, 2008
  • Fellow of the American Association for the Advancement of Science (AAAS), 2001
  • Fellow of John Simon Guggenheim Memorial Foundation, 1983

Best Publications

  • Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

    John Guckenheimer;Philip Holmes;M. Slemrod

  • The Dynamics of Legged Locomotion: Models, Analyses, and Challenges

    Philip Holmes;Robert J. Full;Dan Koditschek;John Guckenheimer

  • Structural stability of Lorenz attractors

    John Guckenheimer;Robert F. Williams

  • Sensitive dependence to initial conditions for one dimensional maps

    John Guckenheimer

  • Mixed-Mode Oscillations with Multiple Time Scales

    Mathieu Desroches;John Guckenheimer;Bernd Krauskopf;Christian Kuehn

  • The dynamics of density dependent population models.

    J Guckenheimer;G Oster;A Ipaktchi

  • Periodic points and topological entropy of one dimensional maps

    Louis Block;John Guckenheimer;Michal Misiurewicz;Lai Sang Young

  • Isochrons and phaseless sets.

    J. Guckenheimer

  • A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS

    Bernd Krauskopf;Hinke M. Osinga;Eusebius J. Doedel;Michael E. Henderson

  • Structurally stable heteroclinic cycles

    John Guckenheimer;Philip Holmes

  • Perspectives of Nonlinear Dynamics.

    John M. Guckenheimer;E. Atlee Jackson

  • A Strange, Strange Attractor

    John Guckenheimer

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

    John Guckenheimer;Philip Holmes

  • Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos

    C. Baesens;J. Guckenheimer;S. Kim;R. S. MacKay

  • Fixed point theory of iterative excitation schemes in NMR

    R. Tycko;A. Pines;J. Guckenheimer

  • Kuramoto-Sivashinsky dynamics on the center-unstable manifold

    Dieter Armbruster;John Guckenheimer;Philip Holmes

  • Chaos in the Hodgkin--Huxley Model

    John Guckenheimer;Ricardo A. Oliva

  • Discovering the flight autostabilizer of fruit flies by inducing aerial stumbles

    Leif Ristroph;Attila J. Bergou;Gunnar Ristroph;Katherine Coumes

  • Computing Hopf Bifurcations I

    John Guckenheimer;Mark Myers;Bernd Sturmfels

  • Singular Hopf Bifurcation in Systems with Two Slow Variables

    John Guckenheimer

  • One-Dimensional Dynamics

    John Guckenheimer

Frequent Co-Authors

Philip Holmes
Philip Holmes Princeton University
Ronald M. Harris-Warrick
Ronald M. Harris-Warrick Cornell University
Stephen P. Ellner
Stephen P. Ellner Cornell University
Francisco J. Valero-Cuevas
Francisco J. Valero-Cuevas University of Southern California
Hinke M. Osinga
Hinke M. Osinga University of Auckland
Axel Timmermann
Axel Timmermann Pusan National University
George Oster
George Oster University of California, Berkeley
Bernd Krauskopf
Bernd Krauskopf University of Auckland
Eusebius J. Doedel
Eusebius J. Doedel Concordia University
Henk A. Dijkstra
Henk A. Dijkstra Utrecht University

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