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2020 – today
- 2024
[j52]Matthaios Katsanikas
, Stephen Wiggins:
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom. Int. J. Bifurc. Chaos 34(1): 2430002:1-2430002:13 (2024)- [j51]Matthaios Katsanikas, Stephen Wiggins:
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos 34(2): 2430004:1-2430004:12 (2024) - [j50]Matthaios Katsanikas, Stephen Wiggins:
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos 34(2): 2430005:1-2430005:8 (2024) - [j49]Francisco Gonzalez Montoya, Matthaios Katsanikas, Stephen Wiggins:
Periodic Orbit Dividing Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos 34(5): 2430011:1-2430011:11 (2024) - [j48]Matthaios Katsanikas, Stephen Wiggins:
Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom. Int. J. Bifurc. Chaos 34(10): 2450130:1-2450130:9 (2024) - [j47]Francisco Gonzalez Montoya, Matthaios Katsanikas, Stephen Wiggins:
Periodic Orbit Dividing Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom - II. Int. J. Bifurc. Chaos 34(10): 2450131:1-2450131:10 (2024) - [j46]Matthaios Katsanikas, Stephen Wiggins:
Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom - I. Int. J. Bifurc. Chaos 34(11): 2450143:1-2450143:12 (2024) - 2023
- [j45]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: 107145 (2023) - [j44]Alexander Hind, Stephen Wiggins:
Learning Reactive Islands of the Voter97 System. Int. J. Bifurc. Chaos 33(2): 2350026:1-2350026:14 (2023) - [j43]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): 2350088:1-2350088:13 (2023) - [j42]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): 2330020:1-2330020:10 (2023) - 2022
- [j41]Guillermo García-Sánchez, Ana M. Mancho, Stephen Wiggins:
A bridge between invariant dynamical structures and uncertainty quantification. Commun. Nonlinear Sci. Numer. Simul. 104: 106016 (2022) - [j40]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: 106089 (2022) - [j39]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): 2230015:1-2230015:18 (2022) - [j38]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): 2230023:1-2230023:9 (2022) - [j37]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): 2230030:1-2230030:11 (2022) - [j36]Víctor J. García-Garrido, Stephen Wiggins:
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface. Int. J. Bifurc. Chaos 32(14): 2250219:1-2250219:14 (2022) - [j35]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): 2230036:1-2230036:23 (2022) - 2021
- [j34]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: 105917 (2021) - [j33]Wenyang Lyu, Shibabrat Naik, Stephen Wiggins:
Hamiltonian pitchfork bifurcation in transition across index-1 saddles. Commun. Nonlinear Sci. Numer. Simul. 103: 105949 (2021) - [j32]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: 105993 (2021) - [j31]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): 2150064:1-2150064:10 (2021) - [j30]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): 2130028:1-2130028:20 (2021) - [j29]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): 2130034:1-2130034:11 (2021) - [j28]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): 2150188:1-2150188:10 (2021) - [j27]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): 2130041:1-2130041:16 (2021) - [j26]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): 3482 (2021) - [i4]Shibabrat Naik, Vladimír Krajnák, Stephen Wiggins:
Support vector machines for learning reactive islands. CoRR abs/2107.08429 (2021) - [i3]Vladimír Krajnák, Shibabrat Naik, Stephen Wiggins:
Predicting trajectory behaviour via machine-learned invariant manifolds. CoRR abs/2107.10154 (2021) - 2020
- [j25]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: 105331 (2020) - [j24]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): 2030008:1-2030008:35 (2020) - [j23]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): 2050076:1-2050076:11 (2020) - [j22]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): 2030026:1-2030026:16 (2020) - [j21]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): 1684 (2020) - [i2]Wenyang Lyu, Shibabrat Naik, Stephen Wiggins:
Elementary exposition of realizing phase space structures relevant to chemical reaction dynamics. CoRR abs/2004.05709 (2020)
2010 – 2019
- 2019
- [j20]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: 104907 (2019) - [j19]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): 1950025:1-1950025:9 (2019) - [j18]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): 1950057:1-1950057:9 (2019) - [j17]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): 1950157:1-1950157:8 (2019) - 2018
- [j16]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): 1830015:1-1830015:11 (2018) - [j15]Matthaios Katsanikas, Stephen Wiggins:
Phase Space Structure and Transport in a Caldera Potential Energy Surface. Int. J. Bifurc. Chaos 28(13): 1830042:1-1830042:20 (2018) - 2017
- [j14]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): 1730001:1-1730001:25 (2017) - [j13]Atanasiu Stefan Demian, Stephen Wiggins:
Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors. Int. J. Bifurc. Chaos 27(14): 1750225:1-1750225:9 (2017) - [i1]Kevin L. McIlhany, Stephen Wiggins:
High Dimensional Cluster Analysis Using Path Lengths. CoRR abs/1710.04886 (2017) - 2016
- [j12]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): 1630036:1-1630036:20 (2016) - 2015
- [j11]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): 516-535 (2015) - [j10]Kayo Ide, Stephen Wiggins:
Transport induced by mean-eddy interaction: II. Analysis of transport processes. Commun. Nonlinear Sci. Numer. Simul. 20(3): 794-806 (2015) - [j9]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): 40-51 (2015) - [j8]Kayo Ide, Stephen Wiggins:
The role of variability in transport for large-scale flow dynamics. Commun. Nonlinear Sci. Numer. Simul. 29(Issues): 459-481 (2015) - [j7]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): 1550172:1-1550172:14 (2015) - [j6]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): 1550184:1-1550184:18 (2015) - 2013
- [j5]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): 3530-3557 (2013) - [j4]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)
2000 – 2009
- 2003
- [j3]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): 1449-1457 (2003) - 2001
- [j2]Luz V. Vela-Arevalo, Stephen Wiggins:
Time-Frequency Analysis of Classical Trajectories of polyatomic molecules. Int. J. Bifurc. Chaos 11(5): 1359-1380 (2001)
1990 – 1999
- 1996
- [j1]Igor Mezic, John F. Brady, Stephen Wiggins:
Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows. SIAM J. Appl. Math. 56(1): 40-56 (1996)
Coauthor Index
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