Stephen Wiggins

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

Learning Reactive Islands of the Voter97 System.

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[DOI]

Alexander Hind

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Int. J. Bifurc. Chaos, February, 2023

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

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[DOI]

Hengchang Cao

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Int. J. Bifurc. Chaos, December, 2022

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

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[DOI]

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Int. J. Bifurc. Chaos, 2022

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

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Int. J. Bifurc. Chaos, 2022

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

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[DOI]

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Int. J. Bifurc. Chaos, 2022

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

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[DOI]

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Int. J. Bifurc. Chaos, 2022

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

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[DOI]

Francisco Gonzalez Montoya

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Broncio Aguilar-Sanjuan

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Commun. Nonlinear Sci. Numer. Simul., 2022

A bridge between invariant dynamical structures and uncertainty quantification.

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[DOI]

Guillermo García-Sánchez

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Commun. Nonlinear Sci. Numer. Simul., 2022

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

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[DOI]

Broncio Aguilar-Sanjuan

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J. Open Source Softw., 2021

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

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[DOI]

Cate Mandell

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Int. J. Bifurc. Chaos, 2021

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

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[DOI]

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Int. J. Bifurc. Chaos, 2021

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

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[DOI]

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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.

[BibT_eX]

[DOI]

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Int. J. Bifurc. Chaos, 2021

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

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[DOI]

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Int. J. Bifurc. Chaos, 2021

Predicting trajectory behaviour via machine-learned invariant manifolds.

[BibT_eX]

[DOI]

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CoRR, 2021

Support vector machines for learning reactive islands.

[BibT_eX]

[DOI]

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Francisco Gonzalez Montoya

CoRR, 2021

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

[BibT_eX]

[DOI]

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Broncio Aguilar-Sanjuan

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Commun. Nonlinear Sci. Numer. Simul., 2021

Hamiltonian pitchfork bifurcation in transition across index-1 saddles.

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[DOI]

Wenyang Lyu

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Commun. Nonlinear Sci. Numer. Simul., 2021

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

[BibT_eX]

[DOI]

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Commun. Nonlinear Sci. Numer. Simul., 2021

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

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[DOI]

Wenyang Lyu

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J. Open Source Softw., 2020

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

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[DOI]

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Gregory S. Ezra

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Int. J. Bifurc. Chaos, 2020

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

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[DOI]

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Int. J. Bifurc. Chaos, 2020

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

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[DOI]

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Int. J. Bifurc. Chaos, 2020

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

[BibT_eX]

[DOI]

Wenyang Lyu

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CoRR, 2020

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

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[DOI]

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Commun. Nonlinear Sci. Numer. Simul., 2020

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

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Int. J. Bifurc. Chaos, 2019

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

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[DOI]

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Int. J. Bifurc. Chaos, 2019

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

[BibT_eX]

[DOI]

Gregory S. Ezra

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Int. J. Bifurc. Chaos, 2019

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

[BibT_eX]

[DOI]

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Commun. Nonlinear Sci. Numer. Simul., 2019

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

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[DOI]

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Int. J. Bifurc. Chaos, 2018

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

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[DOI]

Alessandro Fortunati

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Int. J. Bifurc. Chaos, 2018

A Theoretical Framework for Lagrangian Descriptors.

[BibT_eX]

[DOI]

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Int. J. Bifurc. Chaos, 2017

Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors.

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[DOI]

Atanasiu Stefan Demian

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Int. J. Bifurc. Chaos, 2017

High Dimensional Cluster Analysis Using Path Lengths.

[BibT_eX]

[DOI]

Kevin L. McIlhany

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CoRR, 2017

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

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[DOI]

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Int. J. Bifurc. Chaos, 2016

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

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[DOI]

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Int. J. Bifurc. Chaos, 2015

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

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[DOI]

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Int. J. Bifurc. Chaos, 2015

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

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[DOI]

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Commun. Nonlinear Sci. Numer. Simul., 2015

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

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[DOI]

Kayo Ide

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Commun. Nonlinear Sci. Numer. Simul., 2015

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

[BibT_eX]

[DOI]

Kayo Ide

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Commun. Nonlinear Sci. Numer. Simul., 2015

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

[BibT_eX]

[DOI]

Kayo Ide

,

Commun. Nonlinear Sci. Numer. Simul., 2015

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

[BibT_eX]

[DOI]

Frédéric A. L. Mauguière

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Peter Collins

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Gregory S. Ezra

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Int. J. Bifurc. Chaos, 2013

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

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[DOI]

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Commun. Nonlinear Sci. Numer. Simul., 2013

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

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[DOI]

Ning Ju

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Des Small

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Int. J. Bifurc. Chaos, 2003

Time-Frequency Analysis of Classical Trajectories of polyatomic molecules.

[BibT_eX]

[DOI]

Luz V. Vela-Arevalo

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Int. J. Bifurc. Chaos, 2001

Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows.

[BibT_eX]

[DOI]

Igor Mezic

,

John F. Brady

,