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Mathematics

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

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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