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Journal Articles

Roaming in acetaldehyde

Open Access
Vladimír Krajňák, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 160, 244104 (2024)
https://doi.org/10.1063/5.0212443
Published: June 2024
View articletitled, Roaming in acetaldehyde
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Journal Articles

Support vector machines for learning reactive islands

Open Access
Shibabrat Naik, Vladimír Krajňák, Stephen Wiggins
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 31, 103101 (2021)
https://doi.org/10.1063/5.0062437
Published: October 2021
View articletitled, Support vector machines for learning reactive islands
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Journal Articles

The tipping times in an Arctic sea ice system under influence of extreme events

Available to Purchase
Fang Yang, Yayun Zheng, Jinqiao Duan, Ling Fu, Stephen Wiggins
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 30, 063125 (2020)
https://doi.org/10.1063/5.0006626
Published: June 2020
View articletitled, The tipping times in an Arctic sea ice system under influence of extreme events
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Journal Articles

A Lie transform approach to the construction of Lyapunov functions in autonomous and non-autonomous systems

Free
Alessandro Fortunati, Stephen Wiggins
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 082704 (2019)
https://doi.org/10.1063/1.5063315
Published: August 2019
View articletitled, A Lie transform approach to the construction of Lyapunov functions in autonomous and non-autonomous systems
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Journal Articles

Influence of mass and potential energy surface geometry on roaming in Chesnavich’s CH 4 + model

Free
Vladimír Krajňák, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 149, 094109 (2018)
https://doi.org/10.1063/1.5044532
Published: September 2018
View articletitled, Influence of mass and potential energy surface geometry on roaming in Chesnavich’s CH 4 + model
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Journal Articles

Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium

Free
Alessandro Fortunati, Stephen Wiggins
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 092703 (2016)
https://doi.org/10.1063/1.4962802
Published: September 2016
View articletitled, Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium
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Journal Articles

Phase space barriers and dividing surfaces in the absence of critical points of the potential energy: Application to roaming in ozone

Free
Frédéric A. L. Mauguière, Peter Collins, Zeb C. Kramer, Barry K. Carpenter, Gregory S. Ezra, Stavros C. Farantos, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 144, 054107 (2016)
https://doi.org/10.1063/1.4940798
Published: February 2016
View articletitled, Phase space barriers and dividing surfaces in the absence of critical points of the potential energy: Application to roaming in ozone
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Journal Articles

Lagrangian and Eulerian analysis of transport and mixing in the three dimensional, time dependent Hill’s spherical vortex

Free
Kevin L. McIlhany, Stephen Guth, Stephen Wiggins
Journal: Physics of Fluids
Physics of Fluids 27, 063603 (2015)
https://doi.org/10.1063/1.4922539
Published: June 2015
View articletitled, Lagrangian and Eulerian analysis of transport and mixing in the three dimensional, time dependent Hill’s spherical vortex
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Journal Articles

Nonstatistical dynamics on the caldera

Available to Purchase
Peter Collins, Zeb C. Kramer, Barry K. Carpenter, Gregory S. Ezra, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 141, 034111 (2014)
https://doi.org/10.1063/1.4889780
Published: July 2014
View articletitled, Nonstatistical dynamics on the caldera
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Journal Articles

Roaming dynamics in ion-molecule reactions: Phase space reaction pathways and geometrical interpretation

Available to Purchase
Frédéric A. L. Mauguière, Peter Collins, Gregory S. Ezra, Stavros C. Farantos, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 140, 134112 (2014)
https://doi.org/10.1063/1.4870060
Published: April 2014
View articletitled, Roaming dynamics in ion-molecule reactions: Phase space reaction pathways and geometrical interpretation
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Journal Articles

Nonstatistical dynamics on potentials exhibiting reaction path bifurcations and valley-ridge inflection points

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Peter Collins, Barry K. Carpenter, Gregory S. Ezra, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 139, 154108 (2013)
https://doi.org/10.1063/1.4825155
Published: October 2013
View articletitled, Nonstatistical dynamics on potentials exhibiting reaction path bifurcations and valley-ridge inflection points
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Journal Articles

Eulerian indicators under continuously varying conditions

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Kevin L. McIlhany, Stephen Wiggins
Journal: Physics of Fluids
Physics of Fluids 24, 073601 (2012)
https://doi.org/10.1063/1.4732152
Published: July 2012
View articletitled, Eulerian indicators under continuously varying conditions
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Journal Articles

Optimizing mixing in lid-driven flow designs through predictions from Eulerian indicators

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Kevin L. McIlhany, David Mott, Elaine Oran, Stephen Wiggins
Journal: Physics of Fluids
Physics of Fluids 23, 082005 (2011)
https://doi.org/10.1063/1.3626022
Published: August 2011
View articletitled, Optimizing mixing in lid-driven flow designs through predictions from Eulerian indicators
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Journal Articles

Index k saddles and dividing surfaces in phase space with applications to isomerization dynamics

Available to Purchase
Peter Collins, Gregory S. Ezra, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 134, 244105 (2011)
https://doi.org/10.1063/1.3602465
Published: June 2011
View articletitled, Index k saddles and dividing surfaces in phase space with applications to isomerization dynamics
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Journal Articles

The flux-flux correlation function for anharmonic barriers

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Arseni Goussev, Roman Schubert, Holger Waalkens, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 133, 244113 (2010)
https://doi.org/10.1063/1.3518425
Published: December 2010
View articletitled, The flux-flux correlation function for anharmonic barriers
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Magazine Articles

Vladimir Igorevich Arnold

Free
Gregory S. Ezra, Stephen Wiggins
Journal: Physics Today
Physics Today 63, 74–76 (2010)
https://doi.org/10.1063/1.3529010
Published: December 2010
View articletitled, Vladimir Igorevich Arnold
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Journal Articles

Phase space structure and dynamics for the Hamiltonian isokinetic thermostat

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Peter Collins, Gregory S. Ezra, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 133, 014105 (2010)
https://doi.org/10.1063/1.3455712
Published: July 2010
View articletitled, Phase space structure and dynamics for the Hamiltonian isokinetic thermostat
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Journal Articles

The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions

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Arseni Goussev, Roman Schubert, Holger Waalkens, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 131, 144103 (2009)
https://doi.org/10.1063/1.3245402
Published: October 2009
View articletitled, The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions
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Journal Articles

Microcanonical rates, gap times, and phase space dividing surfaces

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Gregory S. Ezra, Holger Waalkens, Stephen Wiggins
Journal: The Journal of Chemical Physics
J. Chem. Phys. 130, 164118 (2009)
https://doi.org/10.1063/1.3119365
Published: April 2009
View articletitled, Microcanonical rates, gap times, and phase space dividing surfaces
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Journal Articles

Response to “Comment on ‘Identification of low order manifolds: Validating the algorithm of Maas and Pope'” [Chaos 16, 048101 (2006)]

Free
Carl Rhodes, Manfred Morari, Stephen Wiggins
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 16, 048102 (2006)
https://doi.org/10.1063/1.2357333
Published: October 2006
View articletitled, Response to “Comment on ‘Identification of low order manifolds: Validating the algorithm of Maas and Pope'” [Chaos 16, 048101 (2006)]
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