Publications

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2009

Impenetrable barriers in phase space for deterministic thermostats

Gregory S Ezra and Stephen Wiggins

2008

Background and Documentation of Software for Computing Hamiltonian Normal Forms Including software tar file

Peter Collins, Andrew Burbanks, Stephen Wiggins, Holger Waalkens and Roman Schubert

Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows

R. Sturman, S. W. Meier, J. M. Ottino and S. Wiggins

Lagrangian Transport through an Ocean Front in the Northwestern Mediterranean Sea

Ana M. Mancho, Emilio Hernandez-Garcia, Des Small, Stephen Wiggins And Vicente Fernandez

Wigner's dynamical transition state theory in phase space: classical and quantum

Holger Waalkens, Roman Schubert and Stephen Wiggins

ENSO dynamics in current climate models: an investigation using nonlinear dimensionality reduction

I. Ross, P. J. Valdes, and S. Wiggins

2007

DNA Microarrays: Design Principles for Maximizing Ergodic, Chaotic Mixing

Jan-Martin Hertzsch, Rob Sturman, and Stephen Wiggins

2006

A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: Theoretical and computational issues

Ana M. Mancho, Des Small, Stephen Wiggins

Lobe dynamics in a kinematic model of a meandering jet. I. Geometry and statistics of transport and lobe dynamics with accelerated convergence

Florence Raynal, Stephen Wiggins

Synoptic Lagrangian maps: Application to surface transport in Monterey Bay

B. L. Lipphardt, Jr., D. Small, A. D. Kirwan, Jr., S. Wiggins, K. Ide, C E. Grosch, and J. D. Paduan

Efficient Computation of Transition State Resonances and Reaction Rates from a Quantum Normal Form

Roman Schubert, Holger Waalkens, and Stephen Wiggins

A comparison of methods for interpolating chaotic flows from discrete velocity data

A. M. Mancho, D. Small, and S. Wiggins

2005

A formula to compute the microcanonical volume of reactive initial conditions in transition state theory

Holger Waalkens, Andrew Burbanks, Stephen Wiggins

Efficient Procedure to Compute the Microcanonical Volume of Initial Conditions that Lead to Escape Trajectories from a Multidimensional Potential Well

Holger Waalkens, Andrew Burbanks, Stephen Wiggins

Escape from planetary neighbourhoods

Holger Waalkens, Andrew Burbanks, Stephen Wiggins

The Dynamical Systems Approach to Lagrangian Transport in Oceanic Flows

Stephen Wiggins

2004

Designing Optimal Micromixers

Julio M. Ottino and Stephen Wiggins

Phase Space Conduits for Reaction in Multi-Dimensional Systems: HCN Isomerization in Three Dimensions

H Waalkens, A Burbanks and S Wiggins

Direct Construction of a Dividing Surface of Minimal Flux for Multi-Degree-of-Freedom Systems: The Equivalence of Conventional and Variational Transition State Theory

H Waalkens and S Wiggins

A Computational Procedure to Detect a New Type of High-Dimensional Chaotic Saddle and its Application to the 3D Hill's Problem

H Waalkens, A Burbanks and S Wiggins

Foundations of Chaotic Mixing

S. Wiggins and J. Ottino

Mixing in Microfluidics

J. Ottino and S. Wiggins

Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

A. M. Mancho, D. Small, and S. Wiggins

2003

Chaos Assisted Capture of Irregular Moons

S. Astakhov, D. Farrelly, A. Burbanks, and S. Wiggins

Time-Frequency Analysis of Chaotic Systems

C. Chandre, S. Wiggins, and T Uzer

Computation of Stable and Unstable Manifolds of Hyperbolic Trajectories in Two-Dimensional, Aperiodically Time-Dependent Vector Fields

A. M. Mancho, D. Small, S. Wiggins, and K. Ide

2002

Distinguished Hyperbolic Trajectories in Time Dependent Fluid Flows: Analytical and Computational Approach for Velocity Fields Defined as Data Sets

K. Ide, D. Small, and S. Wiggins

Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations

Ning Ju, D. Small, and S. Wiggins

The Geometry of Reaction Dynamics

T. Uzer, C. Jaffe, J. Palacian, P. Yanguas, S. Wiggins

Transport Enhancement Mechanisms in Open Cavities

M. Horner, G. Metcalf, S. Wiggins, and J. M. Ottino

2001

Impenetrable Barriers in Phase-Space

S. Wiggins, L. Wiesenfield, C. Jaffe, and T Uzer

Links to new publications will be added here as they become available. We also give details of our research methodology.

Methodology

Reproducible Research

We endeavour to follow the discipline of reproducible research: Whenever complex computer-generated figures are included in publications, we also publish the relevant software code
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