Stephen Wiggins

According to our database, Stephen Wiggins authored at least 50 papers between 1996 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, January, 2024

2023

The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, June, 2023

The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom-III.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, June, 2023

Corrigendum to "A bridge between invariant dynamical structures and uncertainty quantification" [Commun Nonlinear Sci Numer Simul 104 (2022) 1-18/106016].

Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., June, 2023

Learning Reactive Islands of the Voter97 System.

Alexander Hind, Stephen Wiggins

Int. J. Bifurc. Chaos, February, 2023

2022

Phase Space Reaction Dynamics Associated with an Index-2 Saddle Point for Time-Dependent Hamiltonian Systems.

Hengchang Cao, Stephen Wiggins

Int. J. Bifurc. Chaos, December, 2022

The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface.

Matthaios Katsanikas, Malcolm Hillebrand, Charalampos Skokos, Stephen Wiggins

Int. J. Bifurc. Chaos, 2022

Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima.

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins, Ana M. Mancho

Int. J. Bifurc. Chaos, 2022

Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface.

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Int. J. Bifurc. Chaos, 2022

Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface.

Víctor J. García-Garrido, Stephen Wiggins

Int. J. Bifurc. Chaos, 2022

Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors.

Matthaios Katsanikas, Broncio Aguilar-Sanjuan, Francisco Gonzalez Montoya, Víctor J. García-Garrido, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2022

A bridge between invariant dynamical structures and uncertainty quantification.

Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2022

2021

LDDS: Python package for computing and visualizing Lagrangian Descriptors for Dynamical Systems.

Broncio Aguilar-Sanjuan, Víctor J. García-Garrido, Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins

J. Open Source Softw., 2021

The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces.

Cate Mandell, Stephen Wiggins

Int. J. Bifurc. Chaos, 2021

The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - II.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, 2021

The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom - I.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, 2021

Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation.

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Int. J. Bifurc. Chaos, 2021

The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface.

Y. Geng, Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Int. J. Bifurc. Chaos, 2021

Predicting trajectory behaviour via machine-learned invariant manifolds.

Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins

CoRR, 2021

Support vector machines for learning reactive islands.

Shibabrat Naik, Vladimír Krajnák, Stephen Wiggins

CoRR, 2021

Transport and roaming on the double van der Waals potential energy surface.

Francisco Gonzalez Montoya, Víctor J. García-Garrido, Broncio Aguilar-Sanjuan, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2021

Hamiltonian pitchfork bifurcation in transition across index-1 saddles.

Wenyang Lyu, Shibabrat Naik, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2021

Visualizing the phase space of the HeI2 van der Waals complex using Lagrangian descriptors.

Makrina Agaoglou, Víctor J. García-Garrido, Matthaios Katsanikas, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems.

Wenyang Lyu, Shibabrat Naik, Stephen Wiggins

J. Open Source Softw., 2020

Using Lagrangian Descriptors to Uncover Invariant Structures in Chesnavich's Isokinetic Model with Application to Roaming.

Vladimír Krajnák, Gregory S. Ezra, Stephen Wiggins

Int. J. Bifurc. Chaos, 2020

Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors.

Matthaios Katsanikas, Víctor J. García-Garrido, Stephen Wiggins

Int. J. Bifurc. Chaos, 2020

Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics.

Víctor J. García-Garrido, Shibabrat Naik, Stephen Wiggins

Int. J. Bifurc. Chaos, 2020

Elementary exposition of realizing phase space structures relevant to chemical reaction dynamics.

Wenyang Lyu, Shibabrat Naik, Stephen Wiggins

CoRR, 2020

Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors.

Víctor J. García-Garrido, Makrina Agaoglou, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2020

2019

Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics.

Vladimír Krajnák, Stephen Wiggins

Int. J. Bifurc. Chaos, 2019

Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, 2019

The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle.

Gregory S. Ezra, Stephen Wiggins

Int. J. Bifurc. Chaos, 2019

Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors.

Shibabrat Naik, Víctor J. García-Garrido, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2019

2018

Phase Space Structure and Transport in a Caldera Potential Energy Surface.

Matthaios Katsanikas, Stephen Wiggins

Int. J. Bifurc. Chaos, 2018

Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow.

Alessandro Fortunati, Stephen Wiggins

Int. J. Bifurc. Chaos, 2018

2017

A Theoretical Framework for Lagrangian Descriptors.

Carlos Lopesino, Francisco Balibrea-Iniesta, Víctor J. García-Garrido, Stephen Wiggins, Ana M. Mancho

Int. J. Bifurc. Chaos, 2017

Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors.

Atanasiu Stefan Demian, Stephen Wiggins

Int. J. Bifurc. Chaos, 2017

High Dimensional Cluster Analysis Using Path Lengths.

Kevin L. McIlhany, Stephen Wiggins

CoRR, 2017

2016

Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems.

Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho

Int. J. Bifurc. Chaos, 2016

2015

The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions.

Carlos Lopesino, Francisco Balibrea-Iniesta, Stephen Wiggins, Ana M. Mancho

Int. J. Bifurc. Chaos, 2015

Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Hénon Map.

Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho

Int. J. Bifurc. Chaos, 2015

Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps.

Carlos Lopesino, Francisco Balibrea, Stephen Wiggins, Ana M. Mancho

Commun. Nonlinear Sci. Numer. Simul., 2015

The role of variability in transport for large-scale flow dynamics.

Kayo Ide, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2015

Transport induced by mean-eddy interaction: II. Analysis of transport processes.

Kayo Ide, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2015

Transport induced by mean-eddy interaction: I. Theory, and relation to Lagrangian lobe dynamics.

Kayo Ide, Stephen Wiggins

Commun. Nonlinear Sci. Numer. Simul., 2015

2013

Bifurcations of normally hyperbolic Invariant Manifolds in analytically Tractable Models and Consequences for reaction Dynamics.

Frédéric A. L. Mauguière, Peter Collins, Gregory S. Ezra, Stephen Wiggins

Int. J. Bifurc. Chaos, 2013

Lagrangian descriptors: A method for revealing phase space structures of general time dependent dynamical systems.

Ana M. Mancho, Stephen Wiggins, Jezabel Curbelo, Carolina Mendoza

Commun. Nonlinear Sci. Numer. Simul., 2013

2003

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

Ning Ju, Des Small, Stephen Wiggins

Int. J. Bifurc. Chaos, 2003

2001

Time-Frequency Analysis of Classical Trajectories of polyatomic molecules.

Luz V. Vela-Arevalo, Stephen Wiggins

Int. J. Bifurc. Chaos, 2001

1996

Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows.

Igor Mezic, John F. Brady, Stephen Wiggins

SIAM J. Appl. Math., 1996