Stephen Wiggins

19.4k total citations · 3 hit papers
222 papers, 14.3k citations indexed

About

Stephen Wiggins is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Computer Networks and Communications. According to data from OpenAlex, Stephen Wiggins has authored 222 papers receiving a total of 14.3k indexed citations (citations by other indexed papers that have themselves been cited), including 156 papers in Statistical and Nonlinear Physics, 43 papers in Atomic and Molecular Physics, and Optics and 40 papers in Computer Networks and Communications. Recurrent topics in Stephen Wiggins's work include Quantum chaos and dynamical systems (144 papers), Nonlinear Dynamics and Pattern Formation (40 papers) and Mathematical Dynamics and Fractals (30 papers). Stephen Wiggins is often cited by papers focused on Quantum chaos and dynamical systems (144 papers), Nonlinear Dynamics and Pattern Formation (40 papers) and Mathematical Dynamics and Fractals (30 papers). Stephen Wiggins collaborates with scholars based in United Kingdom, United States and Spain. Stephen Wiggins's co-authors include D.S. Mazel, Julio M. Ottino, Vered Rom‐Kedar, Ana M. Mancho, A. Léonard, John Guckenheimer, George Haller, Igor Mezić, Des Small and Holger Waalkens and has published in prestigious journals such as Nature, Science and Physical Review Letters.

In The Last Decade

Stephen Wiggins

211 papers receiving 13.6k citations

Hit Papers

Introduction to Applied Nonlinear Dynamical Systems and C... 1988 2026 2000 2013 1990 1990 1988 500 1000 1.5k 2.0k 2.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Introduction to Applied Nonlinear Dynamical Systems and Chaos
    1990 2.9k citations Stephen Wiggins et al. profile →
  2. Introduction to Applied Nonlinear Dynamical Systems and Chaos
    1990 2.1k citations Stephen Wiggins profile →
  3. Global Bifurcations and Chaos
    1988 832 citations Stephen Wiggins profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Stephen Wiggins United Kingdom 49 7.9k 3.6k 1.8k 1.5k 1.5k 222 14.3k
Alan C. Newell United States 54 9.3k 1.2× 2.6k 0.7× 4.9k 2.8× 1.4k 1.0× 1.9k 1.3× 179 15.0k
Celso Grebogi United States 79 18.8k 2.4× 11.7k 3.3× 1.9k 1.1× 882 0.6× 3.2k 2.2× 437 26.1k
Yuri A. Kuznetsov Russia 47 4.5k 0.6× 4.5k 1.3× 780 0.4× 1.4k 0.9× 384 0.3× 254 14.4k
Vladimir I. Arnold Russia 48 5.1k 0.6× 1.1k 0.3× 1.2k 0.7× 1.2k 0.8× 3.1k 2.1× 200 13.0k
Alan Jeffrey United Kingdom 29 2.5k 0.3× 2.6k 0.7× 3.8k 2.2× 1.0k 0.7× 1.2k 0.8× 149 15.3k
David Ruelle France 60 10.8k 1.4× 4.0k 1.1× 1.8k 1.0× 1.0k 0.7× 6.4k 4.4× 186 20.5k
I. S. Gradshteyn United States 7 4.3k 0.5× 5.6k 1.6× 8.9k 5.0× 1.5k 1.0× 1.9k 1.3× 8 32.0k
Itamar Procaccia Israel 56 8.8k 1.1× 3.3k 0.9× 2.1k 1.2× 3.8k 2.6× 2.4k 1.7× 399 22.9k
Tudor S. Raţiu Switzerland 40 4.2k 0.5× 513 0.1× 680 0.4× 1.6k 1.1× 2.2k 1.5× 206 10.6k
Edward Ott United States 97 24.3k 3.1× 15.3k 4.3× 5.0k 2.8× 1.7k 1.1× 4.0k 2.8× 541 41.2k

Countries citing papers authored by Stephen Wiggins

Since Specialization
Citations

This map shows the geographic impact of Stephen Wiggins's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Stephen Wiggins with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephen Wiggins more than expected).

Fields of papers citing papers by Stephen Wiggins

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen Wiggins. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Stephen Wiggins. The network helps show where Stephen Wiggins may publish in the future.

Co-authorship network of co-authors of Stephen Wiggins

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen Wiggins. A scholar is included among the top collaborators of Stephen Wiggins based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Stephen Wiggins. Stephen Wiggins is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Chen, Nan, et al.. (2025). Probabilistic eddy identification with uncertainty quantification. Physica D Nonlinear Phenomena. 473. 134542–134542.
2.
Chen, Nan, et al.. (2025). Taming Uncertainty in a Complex World: The Rise of Uncertainty Quantification - A Tutorial for Beginners. Notices of the American Mathematical Society. 72(3). 1–1.
3.
Katsanikas, Matthaios, et al.. (2024). Periodic Orbit Dividing Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I. International Journal of Bifurcation and Chaos. 34(5). 3 indexed citations
4.
Katsanikas, Matthaios & Stephen Wiggins. (2024). Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom. International Journal of Bifurcation and Chaos. 34(10).
5.
Katsanikas, Matthaios & Stephen Wiggins. (2024). 2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom. International Journal of Bifurcation and Chaos. 34(1). 7 indexed citations
6.
Katsanikas, Matthaios & Stephen Wiggins. (2024). 3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom – I. International Journal of Bifurcation and Chaos. 34(2). 4 indexed citations
7.
Katsanikas, Matthaios, et al.. (2024). 2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – II. International Journal of Bifurcation and Chaos. 34(14).
8.
Katsanikas, Matthaios & Stephen Wiggins. (2023). The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – IV. International Journal of Bifurcation and Chaos. 33(8). 4 indexed citations
9.
Wiggins, Stephen. (2023). Ordinary Differential Equations. WORLD SCIENTIFIC eBooks. 1 indexed citations
10.
Katsanikas, Matthaios, et al.. (2023). Navigating phase space transport with the origin-fate map. Physical review. E. 108(2). 24211–24211. 1 indexed citations
11.
Katsanikas, Matthaios & Stephen Wiggins. (2023). The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom-III. International Journal of Bifurcation and Chaos. 33(7). 5 indexed citations
12.
Katsanikas, Matthaios & Stephen Wiggins. (2022). The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface. Physica D Nonlinear Phenomena. 435. 133293–133293. 19 indexed citations
13.
Katsanikas, Matthaios, et al.. (2022). Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface. International Journal of Bifurcation and Chaos. 32(7). 11 indexed citations
14.
Katsanikas, Matthaios, et al.. (2022). Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima. International Journal of Bifurcation and Chaos. 32(10). 12 indexed citations
15.
Yang, Fang, Yayun Zheng, Jinqiao Duan, Ling Fu, & Stephen Wiggins. (2021). The tipping times in an Arctic sea ice system under influence of extreme events.
16.
Carpenter, Barry K., et al.. (2019). The influence of the solvent’s mass on the location of the dividing surface for a model Hamiltonian. Chemical Physics Letters. 737. 100030–100030. 6 indexed citations
17.
Ezra, Gregory S. & Stephen Wiggins. (2018). Sampling Phase Space Dividing Surfaces Constructed from Normally Hyperbolic Invariant Manifolds (NHIMs). The Journal of Physical Chemistry A. 122(42). 8354–8362. 27 indexed citations
18.
Curbelo, Jezabel, et al.. (2017). Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex. Nonlinear processes in geophysics. 24(3). 379–392. 17 indexed citations
19.
García‐Garrido, Víctor J., Jezabel Curbelo, Carlos R. Mechoso, Ana M. Mancho, & Stephen Wiggins. (2017). A simple kinematic model for the Lagrangian description of relevant nonlinear processes in the stratospheric polar vortex. Nonlinear processes in geophysics. 24(2). 265–278. 4 indexed citations
20.
García‐Garrido, Víctor J., Ana M. Mancho, Stephen Wiggins, & Carolina Mendoza. (2015). A dynamical systems approach to the surface search for debris associated with the disappearance of flight MH370. Nonlinear processes in geophysics. 22(6). 701–712. 23 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Alan C. Newell Breakdown of academic impact, for papers by Celso Grebogi Breakdown of academic impact, for papers by Yuri A. Kuznetsov Breakdown of academic impact, for papers by Vladimir I. Arnold Breakdown of academic impact, for papers by Alan Jeffrey Breakdown of academic impact, for papers by David Ruelle Breakdown of academic impact, for papers by I. S. Gradshteyn Breakdown of academic impact, for papers by Itamar Procaccia Breakdown of academic impact, for papers by Tudor S. Raţiu Breakdown of academic impact, for papers by Edward Ott
Rankless by CCL
2026