World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
24353
World Ranking
539
National Ranking
42

Stephen Wiggins 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 Stephen Wiggins 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: 82 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: 279 publications — 83rd percentile

83% of scientists in this discipline score the same or lower.

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

Stephen Wiggins 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 Stephen Wiggins 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: 137 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: 60 D-Index — 85th percentile

85% of scientists in this discipline score the same or lower.

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

Overview

Stephen Wiggins is affiliated with the University of Bristol in the United Kingdom. Their primary field of study is Physics and Astronomy, with a particular focus on Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. Their work also extends into related areas such as Molecular Biology, Computer Networks and Communications, and Astronomy and Astrophysics.

The research topics covered by Stephen Wiggins include:

  • Quantum chaos and dynamical systems
  • Nonlinear Dynamics and Pattern Formation
  • Advanced Chemical Physics Studies
  • Quantum, superfluid, helium dynamics
  • Protein Structure and Dynamics
  • Astro and Planetary Science
  • Scientific Research and Discoveries

Among the recent publications are several papers from 2020, illustrating ongoing work in the dynamics of potential energy surfaces and phase space analysis:

  • "Phase space analysis of the dynamics on a potential energy surface with an entrance channel and two potential wells," Physical Review E, 2020
  • "The dynamical matching mechanism in phase space for caldera-type potential energy surfaces," Chemical Physics Letters, 2020
  • "Lagrangian Descriptors: Discovery and Quantification of Phase Space Structure and Transport," Zenodo (CERN European Organization for Nuclear Research), 2020
  • "Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors," Communications in Nonlinear Science and Numerical Simulation, 2020
  • "The phase space mechanism for selectivity in a symmetric potential energy surface with a post-transition-state bifurcation," Chemical Physics Letters, 2020

Frequent coauthors collaborating with Stephen Wiggins include:

  • Matthaios Katsanikas
  • Víctor J. García-Garrido
  • Makrina Agaoglou
  • Francisco González Montoya
  • Ana M. Mancho

They commonly publish in several scientific venues, notably:

  • International Journal of Bifurcation and Chaos
  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Chemical Physics Letters
  • Communications in Nonlinear Science and Numerical Simulation

Stephen Wiggins has also contributed to academic literature through book publications, with works released primarily by World Scientific and La Trobe University. Recent titles include:

  • Ordinary Differential Equations (2023, World Scientific)
  • Elementary Quantum Mechanics (2024, World Scientific)
  • Elementary Classical Mechanics (2023, World Scientific)
  • Phase Space Structures in Reaction Dynamics (2025, World Scientific)
  • Ordinary Differential Equations (2021, La Trobe University)

Best Publications

  • Introduction to Applied Nonlinear Dynamical Systems and Chaos

    Stephen Wiggins

  • Global Bifurcations and Chaos: Analytical Methods

    Stephen Wiggins

  • Global Bifurcations and Chaos

    Stephen Wiggins

  • Chaotic transport in dynamical systems

    Stephen Wiggins;John Guckenheimer

  • Normally Hyperbolic Invariant Manifolds in Dynamical Systems

    Stephen Wiggins

  • Foundations of chaotic mixing.

    Stephen Wiggins;Julio M. Ottino

  • Chaotic transport in dynamical systems

    Stephen Wiggins

  • The geometry of reaction dynamics

    T Uzer;Charles Jaffé;Jesús Palacián;Patricia Yanguas

  • The dynamical systems approach to lagrangian transport in oceanic flows

    Stephen R Wiggins

  • Transport in two-dimensional maps

    V. Rom-Kedar;V. Rom-Kedar;S. Wiggins;S. Wiggins

  • Lagrangian descriptors: A method for revealing phase space structures of general time dependent dynamical systems

    Ana M. Mancho;Stephen Wiggins;Jezabel Curbelo;Jezabel Curbelo;Carolina Mendoza;Carolina Mendoza

  • Impenetrable Barriers in Phase-Space

    Stephen R Wiggins;L Wiesenfeld;C Jaffe;T Uzer

  • Wigner's dynamical transition state theory in phase space: classical and quantum

    H Waalkens;Roman C V Schubert;Stephen R Wiggins

  • On the integrability and perturbation of three-dimensional fluid flows with symmetry

    I. Mezić;S. Wiggins

  • The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids

    Rob Sturman;Julio M. Ottino;Stephen Wiggins

  • Designing Optimal Micromixers

    Julio M. Ottino;Stephen Wiggins

  • Time–frequency analysis of chaotic systems

    C Chandre;SR Wiggins;T Uzer

  • Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach

    R.M. Samelson;Stephen Wiggins

  • Geometric Structures, Lobe Dynamics, and Lagrangian Transport in Flows with Aperiodic Time-Dependence, with Applications to Rossby Wave Flow

    N. Malhotra;S. Wiggins

  • Time-Frequency Analysis of Classical Trajectories of Polyatomic Molecules

    Luz V. Vela-Arevalo;Stephen Wiggins

  • A method for revealing phase space structures of general time dependent dynamical systems

    Ana María Mancho;Stephen Wiggins;Jezabel Curbelo;Carolina Andrea Mendoza Parra

Frequent Co-Authors

Julio M. Ottino
Julio M. Ottino Northwestern University
Peter Collins
Peter Collins Cardiff University
Barry K. Carpenter
Barry K. Carpenter Cardiff University
Igor Mezic
Igor Mezic University of California, Santa Barbara
Carlos R. Mechoso
Carlos R. Mechoso University of California, Los Angeles
Anthony Leonard
Anthony Leonard California Institute of Technology
Philip Holmes
Philip Holmes Princeton University
Jeffrey D. Paduan
Jeffrey D. Paduan Naval Postgraduate School
Jinqiao Duan
Jinqiao Duan Great Bay University
Tasso J. Kaper
Tasso J. Kaper Boston University

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