

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 HernandezGarcia, 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

JanMartin 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
MultiDimensional Systems: HCN Isomerization in Three Dimensions

H Waalkens,
A Burbanks and
S Wiggins
 Direct Construction of a Dividing Surface of
Minimal Flux for MultiDegreeofFreedom Systems:
The Equivalence of Conventional and Variational Transition State Theory

H Waalkens and
S Wiggins
 A Computational Procedure to Detect a New Type of
HighDimensional 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
 TimeFrequency Analysis of Chaotic Systems

C. Chandre,
S. Wiggins, and
T Uzer

Computation of Stable and Unstable Manifolds of Hyperbolic Trajectories
in TwoDimensional, Aperiodically TimeDependent 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 PhaseSpace

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