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Publications by Author

Stephen Wiggins

Bond breaking in a Morse chain under tension: Fragmentation patterns, higher index saddles, and bond healing (2013)
F. A. L. Mauguiere, P. Collins, G. S. Ezra, S. Wiggins
Journal of Chemical Physics vol: 138 , Page: 134118
DOI: 10.1063/1.4798641
URL provided by the author
Eulerian Indicators Under Continuously Varying Conditions (2012)
Kevin L. McIlhany and Stephen Wiggins
Phys. Fluids vol: 24 , Page: 073601
DOI: 10.1063/1.4732152
URL provided by the author
Isomerization dynamics of a buckled nano beam (2012)
Peter Collins, Gregory S. Ezra, and Stephen Wiggins
Phys. Rev. E vol: 86 , Page: 056218
URL provided by the author
Optimizing mixing in lid-driven flow designs through predictions from Eulerian indicators (2011)
Kevin L. McIlhany, David Mott, Elaine Oran, and Stephen Wiggins
Phys. Fluids vol: 23 , Page: 082005
DOI: 10.1063/1.3626022
URL provided by the author
Optimizing mixing in channel flows: kinematic aspects associated with secondary flows in the cross-section (2011)
Kevin L. McIlhany, Stephen Wiggins
Microfluidics and Nanofluidics vol: 10 , Issue: 2 , Pages: 249 - 262
DOI: 10.1007/s10404-010-0656-6
URL provided by the author
A Lagrangian description of transport associated with a front-eddy interaction: Application to data from the North-Western Mediterranean Sea (2011)
Michal Branicki, Ana M. Mancho, Stephen Wiggins
Physica D vol: 240 , Issue: 3 , Pages: 282 - 304
DOI: 10.1016/j.physd.2010.09.003
URL provided by the author
Index k saddles and dividing surfaces in phase space with applications to isomerization dynamics (2011)
Peter Collins, Gregory S. Ezra, and Stephen Wiggins
Journal of Chemical Physics vol: 134 , Issue: 24 , Page: 244105
DOI: 10.1063/1.3602465
URL provided by the author
Preface "Nonlinear processes in oceanic and atmospheric flows" (2010)
A. M. Mancho, S. Wiggins, A. Turiel, E. Hernández-García, C. López, and E. García-Ladona
NONLINEAR PROCESSES IN GEOPHYSICS vol: 17 , Issue: 3 , Pages: 283 - 285
DOI: 10.5194/npg-17-283-2010
URL provided by the author
The flux-flux correlation function for anharmonic barriers (2010)
Arseni Goussev, Roman Schubert, Holger Waalkens, Stephen Wiggins
JOURNAL OF CHEMICAL PHYSICS vol: 133 , Issue: 24 , Page: 244113
DOI: 10.1063/1.3518425
URL provided by the author
Quantum Theory of Reactive Scattering in Phase Space (2010)
Arseni Goussev, Roman Schubert, Holger Waalkens, and Stephen Wiggins
Advances in Quantum Chemistry vol: 60 , Pages: 269 - 332
DOI: 10.1016/S0065-3276(10)60005-6
URL provided by the author
Mixing by Cutting and Shuffling (2010)
G. Juarez, R. M. Lueptow, J. M. Ottino, R. Sturman and S. Wiggins
Europhys. Lett. vol: 91 , Page: 20003
DOI: 10.1209/0295-5075/91/20003
URL provided by the author
Geometrical models of the phase space structures governing reaction dynamics (2010)
H. Waalkens and S. Wiggins
Regular and Chaotic Dynamics vol: 15 , Issue: 1 , Pages: 1 - 39
DOI: 10.1134/S1560354710010016
URL provided by the author
Bernoulli linked-twist maps in the plane (2010)
James Springham and Stephen Wiggins
Dynamical systems; an international journal vol: 25 , Issue: 4 , Pages: 483 - 499
DOI: 10.1080/14689361003639080
URL provided by the author
Finite-time Lagrangian transport analysis: stable and unstable manifolds of hyperbolic trajectories and finite time Lyapunov exponents (2010)
Michal Branicki and Stephen Wiggins
NONLINEAR PROCESSES IN GEOPHYSICS vol: 17 , Pages: 1 - 36
URL provided by the author
Phase space structure and dynamics for the Hamiltonian isokinetic thermostat (2010)
Peter Collins, Gregory S. Ezra, Stephen Wiggins
JOURNAL OF CHEMICAL PHYSICS vol: 133 , Page: 014105
DOI: 10.1063/1.3455712
URL provided by the author
Periodic-orbit formula for quantum reactions through transition states (2010)
Roman Schubert, Holger Waalkens, Arseni Goussev, and Stephen Wiggins
Phys. Rev. A vol: 82 , Issue: 1 , Page: 012707
DOI: 10.1103/PhysRevA.82.012707
URL provided by the author
Coherent structures and chaotic advection in three dimensions (2010)
S. Wiggins
J. Fluid Mech. vol: 654 , Pages: 1 - 4
DOI: 10.1017/S0022112010002569
URL provided by the author
The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions (2009)
A. Goussev, R. Schubert, H. Waalkens, and S. Wiggins
JOURNAL OF CHEMICAL PHYSICS vol: 131 , Page: 144103
DOI: 10.1063/1.3245402
URL provided by the author
Phase-space geometry and reaction dynamics near index 2 saddles (2009)
G. S. Ezra, S. Wiggins
J. Phys. A: Math. Theor. vol: 42 , Page: 205101
DOI: 10.1088/1751-8113/42/20/205101
URL provided by the author
Microcanonical rates, gap times, and phase space dividing surfaces (2009)
G. S. Ezra, H. Waalkens, S. Wiggins
JOURNAL OF CHEMICAL PHYSICS vol: 130 , Pages: 164118-1 - 164118-15
DOI: 10.1063/1.3119365
URL provided by the author
Impenetrable barriers in phase space for deterministic thermostats (2009)
Gregory S. Ezra and Stephen Wiggins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 42 , Page: 042001
DOI: 10.1088/1751-8113/42/4/042001
URL provided by the author
An adaptive method for computing invariant manifolds in non-autonomous, three-dimensional dynamical systems (2009)
Michal Branicki and Stephen Wiggins
Physica D vol: 238 , Issue: 16 , Pages: 1625 - 1657
DOI: 10.1016/j.physd.2009.05.005
URL provided by the author
A Quantum Version of Wigner's Transition State Theory (2009)
R. Schubert, H. Waalkens, and S. Wiggins
Few Body Systems vol: 45 , Pages: 203 - 206
DOI: 10.1007/s00601-009-0037-4
URL provided by the author
Eulerian indicators for predicting and optimizing mixing quality (2009)
Rob Sturman and Stephen Wiggins
New J. Phys. vol: 11 , Page: 075031
DOI: 10.1088/1367-2630/11/7/075031
URL provided by the author
Lagrangian Transport through an Ocean Front in the Northwestern Mediterranean Sea (2008)
Ana M. Mancho, Emilio Hernandez-Garcia, Des Small, Stephen Wiggins, Vicente Fernandez
Journal of Physical Oceanography vol: 38 , Pages: 1222 - 1237
URL provided by the author
Wigner's dynamical transition state theory in phase space: classical and quantum (2008)
Holger Waalkens, Roman Schubert, Stephen Wiggins
Nonlinearity vol: 21 , Pages: R1 - R118
DOI: 10.1088/0951-7715/21/1/R01
URL provided by the author
ENSO dynamics in current climate models: an investigation using nonlinear dimensionality reduction (2008)
I. Ross, P.J.Valdes, S.Wiggins
NONLINEAR PROCESSES IN GEOPHYSICS vol: 15 , Pages: 339 - 363
URL provided by the author
Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows (2008)
R. Sturman S. W. Meier, J. M. Ottino and S. Wiggins
J. Fluid Mech. vol: 602 , Pages: 129 - 174
URL provided by the author
DNA Microarrays: Design Principles for Maximizing Ergodic, Chaotic Mixing (2007)
J.-M. Hertzsch, R. Sturman, S. Wiggins
Small vol: 3 , Issue: 2 , Pages: 202 - 218
URL provided by the author
A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: Theoretical and computational issues (2006)
A. M. Mancho, D. Small, S. Wiggins
Physics Reports vol: 437 , Pages: 55 - 124
URL provided by the author
A comparison of methods for interpolating chaotic flows from discrete velocity data (2006)
A. M. Mancho, D. Small, S. Wiggins
Computers & Fluids vol: 35 , Issue: 4 , Pages: 416 - 428
URL provided by the author
Synoptic Lagrangian maps: Application to surface transport in Monterey Bay (2006)
B. L. Lippardt, Jr., D. Small, A. D. Kirwan, Jr., S. Wiggins, K. Ide, C. E. Grosch, J. D. Paduan
Journal of Marine Research vol: 64 , Issue: 2 , Pages: 221 - 247
URL provided by the author
Lobe dynamics in a kinematic model of a meandering jet. I. Geometry and statistics of transport and lobe dynamics with accelerated convergence (2006)
F. Raynal, S. Wiggins
Physica D vol: 223 , Pages: 7 - 25
URL provided by the author
Lagrangian Transport in Geophysical Jets and Waves: The Dynamical Systems Approach (2006)
R. M. Samelson, S. Wiggins
Publisher: Springer-Verlag
URL provided by the author
Efficient Computation of Transition State Resonances and Reaction Rates from a Quantum Normal Form (2006)
R. Schubert, H. Waalkens, S. Wiggins
Physical Review Letters vol: 96 , Page: 218302
URL provided by the author
The Mathematical Foundations of Mixing (2006)
R. Sturman, J. M. Ottino, S. Wiggins
Publisher: Cambridge University Press
URL provided by the author
Escape from planetary neighbourhoods (2005)
H. Waalkens, A. Burbanks, S. Wiggins
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY vol: 361 , Issue: 3 , Pages: 763 - 775
URL provided by the author
A formula to compute the microcanonical volume of reactive initial conditions in transition state theory (2005)
H. Waalkens, A. Burbanks, S. Wiggins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 38 , Issue: 45 , Pages: L759 - L768
URL provided by the author
Efficient procedure to compute the microcanonical volume of initial conditions that lead to escape trajectories from a multidimensional potential well (2005)
H. Waalkens, A. Burbanks, S. Wiggins
Phys. Rev. Lett. vol: 95 , Issue: 8 , Page: 084301
URL provided by the author
The dynamical systems approach to Lagrangian transport in oceanic flows (2005)
S. Wiggins
ANNUAL REVIEW OF FLUID MECHANICS vol: 37 , Pages: 295 - 328
URL provided by the author
Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets (2004)
A. M. Mancho, D. Small, S. Wiggins
NONLINEAR PROCESSES IN GEOPHYSICS vol: 11 , Issue: 1 , Pages: 17 - 33
URL provided by the author
A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem (2004)
H. Waalkens, A. Burbanks, S. Wiggins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 37 , Issue: 24 , Pages: L257 - L265
URL provided by the author
Phase space conduits for reaction in multidimensional systems: HCN isomerization in three dimensions (2004)
H. Waalkens, A. Burbanks, S. Wiggins
JOURNAL OF CHEMICAL PHYSICS vol: 121 , Issue: 13 , Pages: 6207 - 6225
URL provided by the author
Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed (2004)
H. Waalkens, S. Wiggins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 37 , Issue: 35 , Pages: L435 - L445
URL provided by the author
Introduction: mixing in microfluidics (2004)
J. M. Ottino, S. Wiggins
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES vol: 362 , Issue: 1818 , Pages: 923 - 935
URL provided by the author
Applied physics - Designing optimal micromixers (2004)
J. M. Ottino, S. Wiggins
Science vol: 305 , Issue: 5683 , Pages: 485 - 486
URL provided by the author
Foundations of chaotic mixing (2004)
S. Wiggins, J. M. Ottino
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES vol: 362 , Issue: 1818 , Pages: 937 - 970
URL provided by the author
Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields (2003)
A. M. Mancho, D. Small, S. Wiggins, K. Ide
Physica D vol: 182 , Issue: 3-4 , Pages: 188 - 222
URL provided by the author
Time-frequency analysis of chaotic systems (2003)
C. Chandre, S. Wiggins, T. Uzer
Physica D vol: 181 , Issue: 3-4 , Pages: 171 - 196
URL provided by the author
Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations (2003)
N. Ju, D. Small, S. Wiggins
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS vol: 13 , Issue: 6 , Pages: 1449 - 1457
URL provided by the author
Chaos-assisted capture of irregular moons (2003)
S. A. Astakhov, A. D. Burbanks, S. Wiggins, D. Farrelly
Nature vol: 423 , Issue: 6937 , Pages: 264 - 267
URL provided by the author
Introduction to Applied Nonlinear Dynamical Systems and Chaos, second edition (2003)
S.Wiggins
Publisher: Springer-Verlag
URL provided by the author
Distinguished hyperbolic trajectories in time-dependent fluid flows: analytical and computational approach for velocity fields defined as data sets (2002)
K. Ide, D. Small, S. Wiggins
NONLINEAR PROCESSES IN GEOPHYSICS vol: 9 , Issue: 3-4 , Pages: 237 - 263
URL provided by the author
Transport enhancement mechanisms in open cavities (2002)
M. Horner, G. Metcalfe, S. Wiggins, J. M. Ottino
J. Fluid Mech. vol: 452 , Pages: 199 - 229
URL provided by the author
The geometry of reaction dynamics (2002)
T. Uzer, C. Jaffe, J. Palacian, P. Yanguas, S. Wiggins
Nonlinearity vol: 15 , Issue: 4 , Pages: 957 - 992
URL provided by the author
Impenetrable barriers in phase-space (2001)
S. Wiggins, L. Wiesenfeld, C. Jaffe, T. Uzer
Physical Review Letters vol: 86 , Issue: 24 , Pages: 5478 - 5481
URL provided by the author