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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
75
Citations
71481
World Ranking
197
National Ranking
116

Mechanical and Aerospace Engineering

D-Index
69
Citations
29779
World Ranking
409
National Ranking
189

Philip Holmes 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 Philip Holmes 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: 259 publications — 79th percentile

79% of scientists in this discipline score the same or lower.

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

Philip Holmes 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 Philip Holmes 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: 75 D-Index — 95th percentile

95% 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

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2013 - Steele Prize for Mathematical Exposition
  • 2011 - SIAM Fellow For contributions to nonlinear dynamics spanning the range from theory to applications.
  • 1994 - Fellow of the American Academy of Arts and Sciences
  • 1993 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Philip Holmes is affiliated with Princeton University in the United States. Their research primarily spans the field of Medicine with a focus on interdisciplinary approaches combining health, environment, and complex systems.

Their recent publications cover a range of topics and venues, including:

  • Decoding the exposome: data science methodologies and implications in exposome-wide association studies (ExWASs), 2024, Exposome
  • Some elements for a history of the dynamical systems theory, 2021, Chaos An Interdisciplinary Journal of Nonlinear Science
  • A long and winding road: culture change on data sharing in exposomics, 2024, Exposome
  • The First International Consortium for Health Outcomes Measurement (ICHOM) Standard Dataset for Reporting Outcomes in Heart Valve Disease: Moving From Device- to Patient-Centered Outcomes, 2025, Circulation Cardiovascular Quality and Outcomes
  • Unlocking the Power of Data Harmonization in Environmental Health Sciences: A Comprehensive Exploration of Significance, Use Cases, and Recommendations for Standardization Efforts, 2025, Environmental Health Perspectives

Their frequent coauthors include:

  • Ming Kei Chung
  • Farida S. Akhtari
  • Konstantinos C. Makris
  • John S. House
  • Xiuxia Du

Publication venues where Philip Holmes has frequently contributed include:

  • Exposome
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • Circulation Cardiovascular Quality and Outcomes
  • Environmental Health Perspectives
  • Journal of the Endocrine Society

The scientist has also contributed a book titled Celestial Encounters, published by Princeton University Press in 2020.

Their main areas of study are Medicine and its subfields, including:

  • Health, Toxicology and Mutagenesis
  • Sociology and Political Science
  • Statistical and Nonlinear Physics
  • Accounting
  • Public Health, Environmental and Occupational Health

Key research topics include:

  • Health, Environment, Cognitive Aging
  • Nutritional Studies and Diet
  • Delphi Technique in Research
  • Nonlinear Dynamics and Pattern Formation
  • Chaos control and synchronization
  • Quantum chaos and dynamical systems
  • Research Data Management Practices

Philip Holmes has been recognized by several professional organizations and awards, including:

  • Fellow of the American Mathematical Society, 2013
  • Steele Prize for Mathematical Exposition, 2013
  • SIAM Fellow, 2011, for contributions to nonlinear dynamics spanning theory to applications
  • Fellow of the American Academy of Arts and Sciences, 1994
  • Fellow of John Simon Guggenheim Memorial Foundation, 1993

Best Publications

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

    John Guckenheimer;Philip Holmes;M. Slemrod

  • The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows

    Gal Berkooz;Philip Holmes;John L. Lumley

  • Turbulence, Coherent Structures, Dynamical Systems and Symmetry

    Philip Holmes;John Leask Lumley;Gal Berkooz

  • The physics of optimal decision making: a formal analysis of models of performance in two-alternative forced-choice tasks.

    Rafal Bogacz;Eric Brown;Jeff Moehlis;Philip Holmes

  • The dynamics of coherent structures in the wall region of a turbulent boundary layer.

    Nadine Aubry;Philip Holmes;John L. Lumley;Emily Stone

  • A periodically forced piecewise linear oscillator

    Steven Shaw;Philip Holmes

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

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

  • Turbulence, Coherent Structures, Dynamical Systems and Symmetry: OTHER APPLICATIONS AND RELATED WORK

    Philip Holmes;John L. Lumley;Gahl Berkooz;Clarence W. Rowley

  • The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model.

    Avis H. Cohen;Philip J. Holmes;Richard H. Rand

  • A magnetoelastic strange attractor

    F.C. Moon;P.J. Holmes

  • On the Phase Reduction and Response Dynamics of Neural Oscillator Populations

    Eric Brown;Jeff Moehlis;Philip Holmes

  • A Simply Stabilized Running Model

    R. M. Ghigliazza;R. Altendorfer;P. Holmes;D. Koditschek

  • Heteroclinic cycles and modulated travelling waves in a system with D 4 symmetry

    Sue Ann Campbell;Philip Holmes

  • A Model of Interval Timing by Neural Integration

    Patrick Simen;Fuat Balci;Laura deSouza;Jonathan D. Cohen

  • Structurally stable heteroclinic cycles

    John Guckenheimer;Philip Holmes

  • A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam

    Philip Holmes;Jerrold E. Marsden

  • Quantifying dynamic stability and maneuverability in legged locomotion.

    Robert J. Full;Timothy Kubow;John Schmitt;Philip Holmes

  • Low-dimensional models of coherent structures in turbulence

    Philip J. Holmes;John L. Lumley;Gal Berkooz;Gal Berkooz;Jonathan C. Mattingly

  • Mechanical models for insect locomotion: dynamics and stability in the horizontal plane I. Theory.

    John Schmitt;Philip Holmes

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

    John Guckenheimer;Philip Holmes

  • New Approaches to Nonlinear Problems in Dynamics

    Philip J. Holmes;P. K. C. Wang

Frequent Co-Authors

John L. Lumley
John L. Lumley Cornell University
Jonathan D. Cohen
Jonathan D. Cohen Princeton University
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
John Guckenheimer
John Guckenheimer Cornell University
Rafal Bogacz
Rafal Bogacz University of Oxford
Daniel E. Koditschek
Daniel E. Koditschek University of Pennsylvania
Michael I. Weinstein
Michael I. Weinstein Columbia University
Fuat Balcı
Fuat Balcı University of Manitoba
Deborah A. Prentice
Deborah A. Prentice Princeton University

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