2026 Philip Holmes: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	75	197	164	115	91	259	71481
Mechanical and Aerospace Engineering	69	408	368	188	157	210	29779

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

24245
Citations
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows

Gal Berkooz;Philip Holmes;John L. Lumley

5224
Citations
Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Philip Holmes;John Leask Lumley;Gal Berkooz

4865
Citations
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

2254
Citations
The dynamics of coherent structures in the wall region of a turbulent boundary layer.

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

1803
Citations
A periodically forced piecewise linear oscillator

Steven Shaw;Philip Holmes

1256
Citations
The Dynamics of Legged Locomotion: Models, Analyses, and Challenges

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

929
Citations
Turbulence, Coherent Structures, Dynamical Systems and Symmetry: OTHER APPLICATIONS AND RELATED WORK

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

824
Citations
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

723
Citations
A magnetoelastic strange attractor

F.C. Moon;P.J. Holmes

718
Citations
On the Phase Reduction and Response Dynamics of Neural Oscillator Populations

Eric Brown;Jeff Moehlis;Philip Holmes

638
Citations
A Simply Stabilized Running Model

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

558
Citations
Heteroclinic cycles and modulated travelling waves in a system with D 4 symmetry

Sue Ann Campbell;Philip Holmes

392
Citations
A Model of Interval Timing by Neural Integration

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

392
Citations
Structurally stable heteroclinic cycles

John Guckenheimer;Philip Holmes

346
Citations
A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam

Philip Holmes;Jerrold E. Marsden

340
Citations
Quantifying dynamic stability and maneuverability in legged locomotion.

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

324
Citations
Low-dimensional models of coherent structures in turbulence

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

299
Citations
Mechanical models for insect locomotion: dynamics and stability in the horizontal plane I. Theory.

John Schmitt;Philip Holmes

296
Citations
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

John Guckenheimer;Philip Holmes

288
Citations
New Approaches to Nonlinear Problems in Dynamics

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

186
Citations

Frequent Co-Authors

John L. Lumley Cornell University

Jonathan D. Cohen Princeton University

Jeff Moehlis University of California, Santa Barbara

Jerrold E. Marsden California Institute of Technology

John Guckenheimer Cornell University

Rafal Bogacz University of Oxford

Daniel E. Koditschek University of Pennsylvania

Michael I. Weinstein Columbia University

Fuat Balcı University of Manitoba

Deborah A. Prentice Princeton University

External Links

Wikipedia of Philip Holmes Personal website of Philip Holmes Google Scholar page

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