Phase space geometry of isolated to condensed chemical reactions

Yutaka Nagahata, Rigoberto Hernandez and Tamiki Komatsuzaki

The Journal of Chemical Physics, 2021, 155
DOI: 10.1063/5.0059618

Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors

Atanasiu Stefan Demian and Stephen Wiggins

Int. J. Bifurcation Chaos, 2017, 27, 1750225
DOI: 10.1142/S021812741750225X

Lagrangian descriptors of driven chemical reaction manifolds

Galen T. Craven, Andrej Junginger and Rigoberto Hernandez

Phys. Rev. E, 2017, 96
DOI: 10.1103/PhysRevE.96.022222

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

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

Communications in Nonlinear Science and Numerical Simulation, 2019, 79, 104907
DOI: 10.1016/j.cnsns.2019.104907

Lagrangian descriptors: The shearless curve and the shearless attractor

R. Simile Baroni and R. Egydio de Carvalho

Phys. Rev. E, 2024, 109
DOI: 10.1103/PhysRevE.109.024202

Invariant Manifolds and Rate Constants in Driven Chemical Reactions

Matthias Feldmaier, Philippe Schraft, Robin Bardakcioglu, Johannes Reiff, Melissa Lober, Martin Tschöpe, Andrej Junginger, Jörg Main, Thomas Bartsch and Rigoberto Hernandez

J. Phys. Chem. B, 2019, 123, 2070
DOI: 10.1021/acs.jpcb.8b10541

Unveiling the chaotic structure in phase space of molecular systems using Lagrangian descriptors

F. Revuelta, R. M. Benito and F. Borondo

Phys. Rev. E, 2019, 99
DOI: 10.1103/PhysRevE.99.032221

Dynamics and Bifurcations on the Normally Hyperbolic Invariant Manifold of a Periodically Driven System with Rank-1 Saddle

Manuel Kuchelmeister, Johannes Reiff, Jörg Main and Rigoberto Hernandez

Regul. Chaot. Dyn., 2020, 25, 496
DOI: 10.1134/S1560354720050068

Neural network approach for the dynamics on the normally hyperbolic invariant manifold of periodically driven systems

Martin Tschöpe, Matthias Feldmaier, Jörg Main and Rigoberto Hernandez

Phys. Rev. E, 2020, 101
DOI: 10.1103/PhysRevE.101.022219

Edge manifold as a Lagrangian coherent structure in a high-dimensional state space

Miguel Beneitez, Yohann Duguet, Philipp Schlatter and Dan S. Henningson

Phys. Rev. Research, 2020, 2
DOI: 10.1103/PhysRevResearch.2.033258

Variational principle for the determination of unstable periodic orbits and instanton trajectories at saddle points

Andrej Junginger, Jörg Main, Günter Wunner and Rigoberto Hernandez

Phys. Rev. A, 2017, 95
DOI: 10.1103/PhysRevA.95.032130

Transition state theory for activated systems with driven anharmonic barriers

F. Revuelta, Galen T. Craven, Thomas Bartsch, F. Borondo, R. M. Benito and Rigoberto Hernandez

The Journal of Chemical Physics, 2017, 147
DOI: 10.1063/1.4997571

Obtaining time-dependent multi-dimensional dividing surfaces using Lagrangian descriptors

Matthias Feldmaier, Andrej Junginger, Jörg Main, Günter Wunner and Rigoberto Hernandez

Chemical Physics Letters, 2017, 687, 194
DOI: 10.1016/j.cplett.2017.09.008

Lagrangian descriptors in geophysical flows: a survey

Jezabel Curbelo

SeMA, 2025
DOI: 10.1007/s40324-025-00382-y

Finding normally hyperbolic invariant manifolds in two and three degrees of freedom with Hénon-Heiles-type potential

Shibabrat Naik and Stephen Wiggins

Phys. Rev. E, 2019, 100
DOI: 10.1103/PhysRevE.100.022204

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

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

Int. J. Bifurcation Chaos, 2016, 26, 1630036
DOI: 10.1142/S0218127416300366

Binary contraction method for the construction of time-dependent dividing surfaces in driven chemical reactions

Robin Bardakcioglu, Andrej Junginger, Matthias Feldmaier, Jörg Main and Rigoberto Hernandez

Phys. Rev. E, 2018, 98
DOI: 10.1103/PhysRevE.98.032204