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Stephen Wiggins

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 60 539 455 42 35 279 24353

Stephen Wiggins publications per year

The chart shows the history of publications by Stephen Wiggins between 1985 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Stephen Wiggins published across 41 years, from 1985 to 2025, averaging 9.4 papers a year. Output peaked at 23 publications in 2021. 24 of the 384 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1985 to 2025. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 2021. 1985: 1 publication 1986: 0 publications 1987: 4 publications 1988: 12 publications 1989: 4 publications 1990: 6 publications 1991: 11 publications 1992: 5 publications 1993: 5 publications 1994: 12 publications 1995: 5 publications 1996: 4 publications 1997: 7 publications 1998: 7 publications 1999: 6 publications 2000: 2 publications 2001: 3 publications 2002: 3 publications 2003: 8 publications 2004: 9 publications 2005: 5 publications 2006: 22 publications 2007: 9 publications 2008: 7 publications 2009: 11 publications 2010: 16 publications 2011: 7 publications 2012: 3 publications 2013: 8 publications 2014: 8 publications 2015: 18 publications 2016: 16 publications 2017: 9 publications 2018: 15 publications 2019: 14 publications 2020: 17 publications 2021: 23 publications 2022: 18 publications 2023: 20 publications 2024: 19 publications 2025: 5 publications
1985 2025

384 publications in total across all disciplines

View publications per year as a table
Stephen Wiggins: publications per year, 1985 to 2025
Year Publications
1985 1
1986 0
1987 4
1988 12
1989 4
1990 6
1991 11
1992 5
1993 5
1994 12
1995 5
1996 4
1997 7
1998 7
1999 6
2000 2
2001 3
2002 3
2003 8
2004 9
2005 5
2006 22
2007 9
2008 7
2009 11
2010 16
2011 7
2012 3
2013 8
2014 8
2015 18
2016 16
2017 9
2018 15
2019 14
2020 17
2021 23
2022 18
2023 20
2024 19
2025 5
Total 384
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Stephen Wiggins publications per year - data summary

  • Stephen Wiggins, a Mathematics scholar from University of Bristol, has 384 publications recorded across 41 years, from 1985 to 2025.
  • The oldest publication on record dates to 1985 and the most recent to 2025.
  • The most productive year is 2021, with 23 publications.
  • The least productive year with any output is 1985, with 1 publication.
  • 1 of the 41 years in the span carries no publications at all (1986).
  • The rate of publication averages 9.4 papers per year over the whole span, or 9.6 per year counting only the 40 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 85 publications, 22% of the career total.
  • Split into equal eras - 1985-1998: 83 publications (5.9 per year); 1999-2012: 111 publications (7.9 per year); 2013-2025: 190 publications (14.6 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 277–281 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30 279
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Stephen Wiggins publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Stephen Wiggins, a Mathematics scholar from University of Bristol, records 279 publications - the 83rd percentile of the discipline.
  • 83% of ranked Mathematics scientists score the same or lower than Stephen Wiggins, and about 17% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Stephen Wiggins ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 60 D-Index, is where this scientist sits. 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: 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41 60
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Stephen Wiggins D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Stephen Wiggins, a Mathematics scholar from University of Bristol, records 60 D-Index - the 85th percentile of the discipline.
  • 85% of ranked Mathematics scientists score the same or lower than Stephen Wiggins, and about 15% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Stephen Wiggins ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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
Richard M. Lueptow
Richard M. Lueptow Northwestern University
Philip Holmes
Philip Holmes Princeton University
Jeffrey D. Paduan
Jeffrey D. Paduan Naval Postgraduate School
Jinqiao Duan
Jinqiao Duan Great Bay University

External Links

Wikipedia of Stephen Wiggins Personal website of Stephen Wiggins Google Scholar page

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Publications: 71

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Guanrong Chen

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Publications: 38

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Michal Fečkan

Comenius University

Publications: 37

Julio M. Ottino

Julio M. Ottino

Northwestern University

Publications: 36

Amalendu Chandra

Amalendu Chandra

Indian Institute of Technology Kanpur

Publications: 34

George Haller

George Haller

ETH Zurich

Publications: 33

Marat Akhmet

Marat Akhmet

Middle East Technical University

Publications: 31

Giuseppe Rega

Giuseppe Rega

Sapienza University of Rome

Publications: 27

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Stefano Lenci

Marche Polytechnic University

Publications: 27

James D. Meiss

James D. Meiss

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Publications: 25

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Christopher K. R. T. Jones

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Publications: 23

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Andrew Y. T. Leung

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Publications: 21

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Richard M. Lueptow

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Publications: 21

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