Stephen Wiggins

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 47

Top Topics

Dynamical Systems

Chemical Reaction

Degrees Of Freedom

Top Venues

Int. J. Bifurc. Chaos

Commun. Nonlinear Sci. Numer. Simul.

J. Open Source Softw.

Publications

Matthaios Katsanikas, Stephen Wiggins
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos 34 (2) (2024)
Matthaios Katsanikas, Stephen Wiggins
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos 34 (2) (2024)
Matthaios Katsanikas, Stephen Wiggins
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom. Int. J. Bifurc. Chaos 34 (1) (2024)
Matthaios Katsanikas, Stephen Wiggins
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV. Int. J. Bifurc. Chaos 33 (8) (2023)
Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins
Corrigendum to "A bridge between invariant dynamical structures and uncertainty quantification" [Commun Nonlinear Sci Numer Simul 104 (2022) 1-18/106016]. Commun. Nonlinear Sci. Numer. Simul. 120 (2023)
Alexander Hind, Stephen Wiggins
Learning Reactive Islands of the Voter97 System. Int. J. Bifurc. Chaos 33 (2) (2023)
Matthaios Katsanikas, Stephen Wiggins
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom-III. Int. J. Bifurc. Chaos 33 (7) (2023)
Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins
A bridge between invariant dynamical structures and uncertainty quantification. Commun. Nonlinear Sci. Numer. Simul. 104 (2022)
Hengchang Cao, Stephen Wiggins
Phase Space Reaction Dynamics Associated with an Index-2 Saddle Point for Time-Dependent Hamiltonian Systems. Int. J. Bifurc. Chaos 32 (16) (2022)
Matthaios Katsanikas, Broncio Aguilar-Sanjuan, Francisco Gonzalez Montoya, Víctor J. García-Garrido, Stephen Wiggins
Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. 105 (2022)
Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins, Ana M. Mancho
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima. Int. J. Bifurc. Chaos 32 (10) (2022)
Matthaios Katsanikas, Malcolm Hillebrand, Charalampos Skokos, Stephen Wiggins
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 32 (12) (2022)
Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 32 (7) (2022)
Víctor J. García-Garrido, Stephen Wiggins
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface. Int. J. Bifurc. Chaos 32 (14) (2022)
Shibabrat Naik, Vladimír Krajnák, Stephen Wiggins
Support vector machines for learning reactive islands. CoRR (2021)
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
Hamiltonian pitchfork bifurcation in transition across index-1 saddles. Commun. Nonlinear Sci. Numer. Simul. 103 (2021)
Makrina Agaoglou, Víctor J. García-Garrido, Matthaios Katsanikas, Stephen Wiggins
Visualizing the phase space of the HeI2 van der Waals complex using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. 103 (2021)
Francisco Gonzalez Montoya, Víctor J. García-Garrido, Broncio Aguilar-Sanjuan, Stephen Wiggins
Transport and roaming on the double van der Waals potential energy surface. Commun. Nonlinear Sci. Numer. Simul. 102 (2021)
Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins
Predicting trajectory behaviour via machine-learned invariant manifolds. CoRR (2021)
Broncio Aguilar-Sanjuan, Víctor J. García-Garrido, Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins
LDDS: Python package for computing and visualizing Lagrangian Descriptors for Dynamical Systems. J. Open Source Softw. 6 (65) (2021)
Matthaios Katsanikas, Stephen Wiggins
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - II. Int. J. Bifurc. Chaos 31 (12) (2021)
Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation. Int. J. Bifurc. Chaos 31 (14) (2021)
Matthaios Katsanikas, Stephen Wiggins
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom - I. Int. J. Bifurc. Chaos 31 (10) (2021)
Y. Geng, Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 31 (11) (2021)
Cate Mandell, Stephen Wiggins
The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces. Int. J. Bifurc. Chaos 31 (4) (2021)
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
Elementary exposition of realizing phase space structures relevant to chemical reaction dynamics. CoRR (2020)
Vladimír Krajnák, Gregory S. Ezra, Stephen Wiggins
Using Lagrangian Descriptors to Uncover Invariant Structures in Chesnavich's Isokinetic Model with Application to Roaming. Int. J. Bifurc. Chaos 30 (5) (2020)
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems. J. Open Source Softw. 5 (45) (2020)
Víctor J. García-Garrido, Makrina Agaoglou, Stephen Wiggins
Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. 89 (2020)
Matthaios Katsanikas, Víctor J. García-Garrido, Stephen Wiggins
Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors. Int. J. Bifurc. Chaos 30 (9) (2020)
Víctor J. García-Garrido, Shibabrat Naik, Stephen Wiggins
Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics. Int. J. Bifurc. Chaos 30 (4) (2020)
Gregory S. Ezra, Stephen Wiggins
The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle. Int. J. Bifurc. Chaos 29 (2) (2019)
Vladimír Krajnák, Stephen Wiggins
Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics. Int. J. Bifurc. Chaos 29 (11) (2019)
Shibabrat Naik, Víctor J. García-Garrido, Stephen Wiggins
Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. 79 (2019)
Matthaios Katsanikas, Stephen Wiggins
Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 29 (4) (2019)
Alessandro Fortunati, Stephen Wiggins
Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow. Int. J. Bifurc. Chaos 28 (5) (2018)
Matthaios Katsanikas, Stephen Wiggins
Phase Space Structure and Transport in a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 28 (13) (2018)
Kevin McIlhany, Stephen Wiggins
High Dimensional Cluster Analysis Using Path Lengths. CoRR (2017)
Carlos Lopesino, Francisco Balibrea-Iniesta, Víctor J. García-Garrido, Stephen Wiggins, Ana M. Mancho
A Theoretical Framework for Lagrangian Descriptors. Int. J. Bifurc. Chaos 27 (1) (2017)
Atanasiu Stefan Demian, Stephen Wiggins
Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors. Int. J. Bifurc. Chaos 27 (14) (2017)
Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho
Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems. Int. J. Bifurc. Chaos 26 (13) (2016)
Kayo Ide, Stephen Wiggins
The role of variability in transport for large-scale flow dynamics. Commun. Nonlinear Sci. Numer. Simul. 29 (Issues) (2015)
Kayo Ide, Stephen Wiggins
Transport induced by mean-eddy interaction: I. Theory, and relation to Lagrangian lobe dynamics. Commun. Nonlinear Sci. Numer. Simul. 20 (2) (2015)
Carlos Lopesino, Francisco Balibrea, Stephen Wiggins, Ana M. Mancho
Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. Commun. Nonlinear Sci. Numer. Simul. 27 (Issues) (2015)
Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho
Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Hénon Map. Int. J. Bifurc. Chaos 25 (12) (2015)
Kayo Ide, Stephen Wiggins
Transport induced by mean-eddy interaction: II. Analysis of transport processes. Commun. Nonlinear Sci. Numer. Simul. 20 (3) (2015)
Carlos Lopesino, Francisco Balibrea-Iniesta, Stephen Wiggins, Ana M. Mancho
The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions. Int. J. Bifurc. Chaos 25 (13) (2015)
Ana M. Mancho, Stephen Wiggins, Jezabel Curbelo, Carolina Mendoza
Lagrangian descriptors: A method for revealing phase space structures of general time dependent dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 18 (12) (2013)
Frédéric A. L. Mauguière, Peter Collins, Gregory S. Ezra, Stephen Wiggins
Bifurcations of normally hyperbolic Invariant Manifolds in analytically Tractable Models and Consequences for reaction Dynamics. Int. J. Bifurc. Chaos 23 (12) (2013)
Ning Ju, Des Small, Stephen Wiggins
Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and their Approximations. Int. J. Bifurc. Chaos 13 (6) (2003)
Luz V. Vela-Arevalo, Stephen Wiggins
Time-Frequency Analysis of Classical Trajectories of polyatomic molecules. Int. J. Bifurc. Chaos 11 (5) (2001)
Igor Mezic, John F. Brady, Stephen Wiggins
Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows. SIAM J. Appl. Math. 56 (1) (1996)