Stephen Wiggins

62 papers Journal 62

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos Matthaios Katsanikas, Francisco Gonzalez Montoya, Stephen Wiggins
2025	J	`jnl`	3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos Matthaios Katsanikas, Francisco Gonzalez Montoya, Stephen Wiggins
2025	J	`jnl`	Nonautonomous Dynamics: The Research Landscape. Int. J. Bifurc. Chaos Stephen Wiggins
2024	J	`jnl`	2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	2D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos Matthaios Katsanikas, Francisco Gonzalez Montoya, Stephen Wiggins
2024	J	`jnl`	2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos Matthaios Katsanikas, Francisco Gonzalez Montoya, Stephen Wiggins
2024	J	`jnl`	3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	Periodic Orbit Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	Periodic Orbit Dividing Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos Francisco Gonzalez Montoya, Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	Periodic Orbit Dividing Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos Francisco Gonzalez Montoya, Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2024	J	`jnl`	Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2023	J	`jnl`	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. Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins
2023	J	`jnl`	Learning Reactive Islands of the Voter97 System. Int. J. Bifurc. Chaos Alexander Hind, Stephen Wiggins
2023	J	`jnl`	The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - IV. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2023	J	`jnl`	The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom-III. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2022	J	`jnl`	A bridge between invariant dynamical structures and uncertainty quantification. Commun. Nonlinear Sci. Numer. Simul. Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins
2022	J	`jnl`	Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
2022	J	`jnl`	Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. Matthaios Katsanikas, Broncio Aguilar-Sanjuan, Francisco Gonzalez Montoya, Víctor J. García-Garrido, Stephen Wiggins
2022	J	`jnl`	Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface. Int. J. Bifurc. Chaos Víctor J. García-Garrido, Stephen Wiggins
2022	J	`jnl`	Phase Space Reaction Dynamics Associated with an Index-2 Saddle Point for Time-Dependent Hamiltonian Systems. Int. J. Bifurc. Chaos Hengchang Cao, Stephen Wiggins
2022	J	`jnl`	Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima. Int. J. Bifurc. Chaos Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins, Ana M. Mancho
2022	J	`jnl`	The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos Matthaios Katsanikas, Malcolm Hillebrand, Charalampos Skokos, Stephen Wiggins
2021	J	`jnl`	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 Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
2021	J	`jnl`	Hamiltonian pitchfork bifurcation in transition across index-1 saddles. Commun. Nonlinear Sci. Numer. Simul. Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
2021	J	`jnl`	LDDS: Python package for computing and visualizing Lagrangian Descriptors for Dynamical Systems. J. Open Source Softw. Broncio Aguilar-Sanjuan, Víctor J. García-Garrido, Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins
2021	J	`jnl`	Predicting trajectory behaviour via machine-learned invariant manifolds. CoRR Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins
2021	J	`jnl`	Support vector machines for learning reactive islands. CoRR Shibabrat Naik, Vladimír Krajnák, Stephen Wiggins
2021	J	`jnl`	The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface. Int. J. Bifurc. Chaos Y. Geng, Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
2021	J	`jnl`	The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom - II. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2021	J	`jnl`	The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom - I. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2021	J	`jnl`	The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces. Int. J. Bifurc. Chaos Cate Mandell, Stephen Wiggins
2021	J	`jnl`	Transport and roaming on the double van der Waals potential energy surface. Commun. Nonlinear Sci. Numer. Simul. Francisco Gonzalez Montoya, Víctor J. García-Garrido, Broncio Aguilar-Sanjuan, Stephen Wiggins
2021	J	`jnl`	Visualizing the phase space of the HeI2 van der Waals complex using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. Makrina Agaoglou, Víctor J. García-Garrido, Matthaios Katsanikas, Stephen Wiggins
2020	J	`jnl`	Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors. Int. J. Bifurc. Chaos Matthaios Katsanikas, Víctor J. García-Garrido, Stephen Wiggins
2020	J	`jnl`	Elementary exposition of realizing phase space structures relevant to chemical reaction dynamics. CoRR Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
2020	J	`jnl`	Exploring isomerization dynamics on a potential energy surface with an index-2 saddle using lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. Víctor J. García-Garrido, Makrina Agaoglou, Stephen Wiggins
2020	J	`jnl`	Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics. Int. J. Bifurc. Chaos Víctor J. García-Garrido, Shibabrat Naik, Stephen Wiggins
2020	J	`jnl`	UPOsHam: A Python package for computing unstable periodic orbits in two-degree-of-freedom Hamiltonian systems. J. Open Source Softw. Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
2020	J	`jnl`	Using Lagrangian Descriptors to Uncover Invariant Structures in Chesnavich's Isokinetic Model with Application to Roaming. Int. J. Bifurc. Chaos Vladimír Krajnák, Gregory S. Ezra, Stephen Wiggins
2019	J	`jnl`	Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics. Int. J. Bifurc. Chaos Vladimír Krajnák, Stephen Wiggins
2019	J	`jnl`	Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors. Commun. Nonlinear Sci. Numer. Simul. Shibabrat Naik, Víctor J. García-Garrido, Stephen Wiggins
2019	J	`jnl`	Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2019	J	`jnl`	The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle. Int. J. Bifurc. Chaos Gregory S. Ezra, Stephen Wiggins
2018	J	`jnl`	Phase Space Structure and Transport in a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos Matthaios Katsanikas, Stephen Wiggins
2018	J	`jnl`	Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow. Int. J. Bifurc. Chaos Alessandro Fortunati, Stephen Wiggins
2017	J	`jnl`	A Theoretical Framework for Lagrangian Descriptors. Int. J. Bifurc. Chaos Carlos Lopesino, Francisco Balibrea-Iniesta, Víctor J. García-Garrido, Stephen Wiggins, Ana M. Mancho
2017	J	`jnl`	Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors. Int. J. Bifurc. Chaos Atanasiu Stefan Demian, Stephen Wiggins
2017	J	`jnl`	High Dimensional Cluster Analysis Using Path Lengths. CoRR Kevin L. McIlhany, Stephen Wiggins
2016	J	`jnl`	Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems. Int. J. Bifurc. Chaos Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho
2015	J	`jnl`	Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Hénon Map. Int. J. Bifurc. Chaos Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins, Ana M. Mancho
2015	J	`jnl`	Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. Commun. Nonlinear Sci. Numer. Simul. Carlos Lopesino, Francisco Balibrea, Stephen Wiggins, Ana M. Mancho
2015	J	`jnl`	The Chaotic Saddle in the Lozi Map, Autonomous and Nonautonomous Versions. Int. J. Bifurc. Chaos Carlos Lopesino, Francisco Balibrea-Iniesta, Stephen Wiggins, Ana M. Mancho
2015	J	`jnl`	The role of variability in transport for large-scale flow dynamics. Commun. Nonlinear Sci. Numer. Simul. Kayo Ide, Stephen Wiggins
2015	J	`jnl`	Transport induced by mean-eddy interaction: I. Theory, and relation to Lagrangian lobe dynamics. Commun. Nonlinear Sci. Numer. Simul. Kayo Ide, Stephen Wiggins
2015	J	`jnl`	Transport induced by mean-eddy interaction: II. Analysis of transport processes. Commun. Nonlinear Sci. Numer. Simul. Kayo Ide, Stephen Wiggins
2013	J	`jnl`	Bifurcations of normally hyperbolic Invariant Manifolds in analytically Tractable Models and Consequences for reaction Dynamics. Int. J. Bifurc. Chaos Frédéric A. L. Mauguière, Peter Collins, Gregory S. Ezra, Stephen Wiggins
2013	J	`jnl`	Lagrangian descriptors: A method for revealing phase space structures of general time dependent dynamical systems. Commun. Nonlinear Sci. Numer. Simul. Ana M. Mancho, Stephen Wiggins, Jezabel Curbelo, Carolina Mendoza
2003	J	`jnl`	Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and their Approximations. Int. J. Bifurc. Chaos Ning Ju, Des Small, Stephen Wiggins
2001	J	`jnl`	Time-Frequency Analysis of Classical Trajectories of polyatomic molecules. Int. J. Bifurc. Chaos Luz V. Vela-Arevalo, Stephen Wiggins
1996	J	`jnl`	Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows. SIAM J. Appl. Math. Igor Mezic, John F. Brady, Stephen Wiggins