Stability and Transitions in Physical Processes

Deliverables

Presentations to high school teachers and students

to be given by various TraX researchers at least once a year

Two PhD defences pertaining to WP2

PhD theses to be defended at UB by months 26, 48

Three PhD defences pertaining to WP1

PhD theses to be defended at UB and GATECH by months 14, 38, 48.

Two PhD defences pertaining to WP4

To be defended at AMU and GATECH

Two PhD defences pertaining to WP3

One PhD thesis to be defended at UPM, one at STUTT

Publications

Identification of the invariant manifolds of the LiCN molecule using Lagrangian descriptors.

Author(s): F. Revuelta; Rosa M. Benito; Florentino Borondo
Published in: Physical Review E, Issue 104, 2021, Page(s) 044210, ISSN 2470-0053
Publisher: American Physical Society
DOI: 10.48550/arxiv.2110.09989

Deep learning methods for the computation of vibrational wavefunctions

Author(s): Laia Domingo; Laia Domingo; Florentino Borondo; Florentino Borondo
Published in: Communications in nonlinear science & numerical simulation, Issue 103, 2021, Page(s) 105989, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105989

Finite-barrier corrections for multidimensional barriers in colored noise

Author(s): Thomas Bartsch; F Revuelta; R M Benito; F Borondo
Published in: Physical Review E, Issue 99, 2019, Page(s) 052211, ISSN 2470-0053
Publisher: American Physical Society
DOI: 10.1103/physreve.99.052211

Bogolyubov’s averaging theorem applied to the Kramers–Henneberger Hamiltonian

Author(s): E. Floriani; J. Dubois; C. Chandre
Published in: Physica D: Nonlinear Phenomena, Issue 431, 2022, Page(s) 133124, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2021.133124

Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems

Author(s): Adrián P Bustamante; Cristel Chandre
Published in: SIAM Journal of Applied Dynamical Systems, Issue 22, 2023, Page(s) 483-500, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/21m1448501

Classification of linear skew-products of the complex plane and an affine route of fractalization

Author(s): Núria Fagella, Angel Jorba, Marc Jorba-Cuscó, Joan Carles Tatjer
Published in: Discrete and Continuous Dynamical Systems, Issue 39:7, 2019, Page(s) 3767-3787, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2019153

The vicinity of the Earth–Moon L1 point in the bicircular problem

Author(s): Àngel Jorba, Marc Jorba-Cuscó, José J. Rosales
Published in: Celestial Mechanics and Dynamical Astronomy, Issue 132:11, 2020, ISSN 1572-9478
Publisher: Springer
DOI: 10.1007/s10569-019-9940-2

Effective bounds for the measure of rotations

Author(s): Jordi-Lluís Figueras; Àlex Haro; Alejandro Luque
Published in: Nonlinearity, Issue 33, 2019, Page(s) 700-741, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab500d

Dynamical organization of recollisions by a family of invariant tori

Author(s): J. Dubois; M. Jorba-Cuscó; À. Jorba; C. Chandre
Published in: SIAM Journal on Applied Dynamical Systems, Issue 21, 2022, Page(s) 523-541, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/21m1400912

Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE

Author(s): Jiaqi Yiang; Joan Gimeno; Rafael de la Llave
Published in: Journal of Differential Equations, Issue 338, 2022, Page(s) 76-127, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2022.07.033

Mean first-passage times for solvated LiCN isomerization at intermediate to high temperatures

Author(s): Micha M. Schleeh, Johannes Reiff, Pablo L. García-Müller, Rosa M. Benito, Florentino Borondo, Jörg Main, and Rigoberto Hernandez
Published in: The Journal of Chemical Physics, Issue 156/3, 2022, Page(s) 034103, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/5.0065090

Atom scattering off a vibrating surface: An example of chaotic scattering with three degrees of freedom

Author(s): Gonzalez, Francisco; Borondo, Florentino; Jung, Christof
Published in: Communications in nonlinear science & numerical simulation, Issue 90, 2020, Page(s) 105282, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105282

Families of Halo-like invariant tori around 2 in the Earth-Moon Bicircular Problem

Author(s): Rosales de Cáceres, José J. Jorba i Monte, Àngel Jorba Cuscó, Marc
Published in: Celestial Mechanics and Dynamical Astronomy, Issue 113, 2021, Page(s) 16, ISSN 0923-2958
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10569-021-10012-0

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

Author(s): Manuel Kuchelmeister, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Published in: Regular and Chaotic Dynamics, Issue 25/5, 2020, Page(s) 496-507, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354720050068

Rate calculation in two-dimensional barriers with colored noise

Author(s): F. Revuelta; Thomas Bartsch; Rosa M. Benito; Florentino Borondo
Published in: Indian Academy of Sciences Conference Series, Issue 1, 2017, Page(s) 145-155, ISSN 0000-0000
Publisher: Indian Academy of Sciences
DOI: 10.29195/iascs.01.01.0012

Nonadiabatic effects in the double ionization of atoms driven by a circularly polarized laser pulse

Author(s): J. Dubois, C. Chandre, T. Uzer
Published in: Physical Review E, Issue 102/3, 2020, Page(s) 032218, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.102.032218

Non-twist tori in conformally symplectic systems

Author(s): Calleja, Renato; Canadell, Marta; Haro, Alex
Published in: Communications in nonlinear science & numerical simulation, Issue 96, 2021, Page(s) 105695, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1007/s10569-021-10057-1

Influence of external driving on decays in the geometry of the LiCN isomerization

Author(s): Matthias Feldmaier, Johannes Reiff, Rosa M. Benito, Florentino Borondo, Jörg Main, Rigoberto Hernandez
Published in: The Journal of Chemical Physics, Issue 153/8, 2020, Page(s) 084115, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/5.0015509

"Quantization Scheme for the Experiments with ""Walking Droplets""."

Author(s): J. Montes; F. Revuelta; F. Revuelta; Florentino Borondo; Florentino Borondo
Published in: Journal of Physical Chemistry A, Issue 123, 2019, Page(s) 1622-1629, ISSN 1089-5639
Publisher: American Chemical Society
DOI: 10.1021/acs.jpca.8b12043

Adapting reservoir computing to solve the Schrödinger equation

Author(s): Laia Domingo Colomer; Javier Borondo; Florentino Borondo
Published in: Chaos, Issue 32, 2022, Page(s) 063111, ISSN 1054-1500
Publisher: American Institute of Physics
DOI: 10.1063/5.0087785

Invariant manifolds near $$L_1$$ and $$L_2$$ in the quasi-bicircular problem

Author(s): José J. Rosales; Àngel Jorba; Marc Jorba-Cuscó
Published in: Celestial Mechanics and Dynamical Astronomy, Issue 135, 2023, Page(s) 15, ISSN 0923-2958
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10569-023-10129-4

Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem

Author(s): Marco Fenucci; Àngel Jorba
Published in: Communications in nonlinear science & numerical simulation, Issue 83, 2020, Page(s) 105105, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2019.105105

Rapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems

Author(s): Bhanu Kumar; Rodney L. Anderson; Rafael de la Llave
Published in: Celestial Mechanics and Dynamical Astronomy, Issue 134, 2022, Page(s) 3, ISSN 0923-2958
Publisher: Kluwer Academic Publishers
DOI: 10.48550/arxiv.2105.11100

Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations

Author(s): Marian Gidea; Rafael de la Llave
Published in: Journal of Nonlinear Science, Issue 28, 2018, Page(s) 1657–1707, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.48550/arxiv.1710.01849

Flow map parameterization methods for invariant tori in Hamiltonian systems

Author(s): Àlex Haro; Josep-Maria Mondelo
Published in: Communications in nonlinear science & numerical simulation, Issue 101, 2021, Page(s) 105859, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105859

Chemical dynamics between wells across a time-dependent barrier: Self-similarity in the Lagrangian descriptor and reactive basins

Author(s): Andrej Junginger, Lennart Duvenbeck, Matthias Feldmaier, Jörg Main, Günter Wunner, Rigoberto Hernandez
Published in: The Journal of Chemical Physics, Issue 147/6, 2017, Page(s) 064101, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/1.4997379

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

Author(s): Matthias Feldmaier, Andrej Junginger, Jörg Main, Günter Wunner, Rigoberto Hernandez
Published in: Chemical Physics Letters, Issue 687, 2017, Page(s) 194-199, ISSN 0009-2614
Publisher: Elsevier BV
DOI: 10.1016/j.cplett.2017.09.008

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

Author(s): Andrej Junginger, Jörg Main, Günter Wunner, Rigoberto Hernandez
Published in: Physical Review A, Issue 95/3, 2017, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/PhysRevA.95.032130

Transition state theory for activated systems with driven anharmonic barriers

Author(s): F. Revuelta, Galen T. Craven, Thomas Bartsch, F. Borondo, R. M. Benito, Rigoberto Hernandez
Published in: The Journal of Chemical Physics, Issue 147/7, 2017, Page(s) 074104, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/1.4997571

Neural network approach to time-dependent dividing surfaces in classical reaction dynamics

Author(s): Philippe Schraft, Andrej Junginger, Matthias Feldmaier, Robin Bardakcioglu, Jörg Main, Günter Wunner, Rigoberto Hernandez
Published in: Physical Review E, Issue 97/4, 2018, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/PhysRevE.97.042309

The geometry of transition states: How invariant manifolds determine reaction rates

Author(s): F. Revuelta, Thomas Bartsch, R. M. Benito, and F. Borondo
Published in: Chaotic Modeling and Simulation, Issue 3, 2018, Page(s) 305-318, ISSN 2241-0503
Publisher: CMSIM

Coherent buildup of high-order harmonic radiation: The classical perspective

Author(s): S. A. Berman, J. Dubois, C. Chandre, M. Perin, T. Uzer
Published in: Physical Review A, Issue 97/6, 2018, Page(s) 061402(R), ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/PhysRevA.97.061402

Capturing Photoelectron Motion with Guiding Centers

Author(s): J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Published in: Physical Review Letters, Issue 121/11, 2018, Page(s) 113202, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.121.113202

Variational formulation of classical and quantum models for intense laser pulse propagation

Author(s): S.A. Berman, C. Chandre, J. Dubois, F. Mauger, M. Perin, T. Uzer
Published in: Annals of Physics, Issue 399, 2018, Page(s) 66-84, ISSN 0003-4916
Publisher: Academic Press
DOI: 10.1016/j.aop.2018.10.002

Guiding-center motion for electrons in strong laser fields

Author(s): J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Published in: Physical Review E, Issue 98/5, 2018, Page(s) 052219, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/PhysRevE.98.052219

Invariant Manifolds and Rate Constants in Driven Chemical Reactions

Author(s): Matthias Feldmaier, Philippe Schraft, Robin Bardakcioglu, Johannes Reiff, Melissa Lober, Martin Tschöpe, Andrej Junginger, Jörg Main, Thomas Bartsch, Rigoberto Hernandez
Published in: The Journal of Physical Chemistry B, Issue 123/9, 2019, Page(s) 2070-2086, ISSN 1520-6106
Publisher: American Chemical Society
DOI: 10.1021/acs.jpcb.8b10541

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

Author(s): Robin Bardakcioglu, Andrej Junginger, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Published in: Physical Review E, Issue 98/3, 2018, Page(s) 032204, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.98.032204

A-posteriori KAM theory with optimal estimates for partially integrable systems

Author(s): Alex Haro, Alejandro Luque
Published in: Journal of Differential Equations, Issue 266/2-3, 2019, Page(s) 1605-1674, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2018.08.003

Two Periodic Models for the Earth-Moon System

Author(s): Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
Published in: Frontiers in Applied Mathematics and Statistics, Issue 4, 2018, Page(s) 32, ISSN 2297-4687
Publisher: Frontiers Media SA
DOI: 10.3389/fams.2018.00032

On the effect of time lags on a saddle-node remnant in hyperbolic replicators

Author(s): Joan Gimeno, Àngel Jorba, Josep Sardanyés
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 51/38, 2018, Page(s) 385601, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aad02f

Phase-space resolved rates in driven multidimensional chemical reactions

Author(s): Matthias Feldmaier, Robin Bardakcioglu, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Published in: The Journal of Chemical Physics, Issue 151/24, 2019, Page(s) 244108, ISSN 0021-9606
Publisher: American Institute of Physics
DOI: 10.1063/1.5127539

Inclusion of Coulomb effects in laser-atom interactions

Author(s): J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Published in: Physical Review A, Issue 99/5, 2019, Page(s) 053405, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/PhysRevA.99.053405

Classical versus quantum views of intense laser pulse propagation in gases

Author(s): S A Berman, C Chandre, J Dubois, M Perin, T Uzer
Published in: Journal of Physics B: Atomic, Molecular and Optical Physics, Issue 52/12, 2019, Page(s) 125601, ISSN 0953-4075
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6455/ab1c12

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

Author(s): Martin Tschöpe, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Published in: Physical Review E, Issue 101/2, 2020, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.101.022219

On the stability of satellites at unstable libration points of sun–planet–moon systems

Author(s): Johannes Reiff, Jonas Zatsch, Jörg Main, Rigoberto Hernandez
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 104, 2022, Page(s) 106053, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.106053

Double-ionization mechanisms of magnesium driven by electron impact

Author(s): S. Mittal, J. Dubois, C. Chandre, T. Uzer
Published in: Physical Review A, Issue 101/6, 2020, Page(s) 062707, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/PhysRevA.101.062707

Identifying reaction pathways in phase space via asymptotic trajectories

Author(s): Yutaka Nagahata, F. Borondo, R. M. Benito, Rigoberto Hernandez
Published in: Physical Chemistry Chemical Physics, Issue 22/18, 2020, Page(s) 10087-10105, ISSN 1463-9076
Publisher: Royal Society of Chemistry
DOI: 10.1039/c9cp06610a

Efficient and Accurate KAM Tori Construction for the Dissipative Spin–Orbit Problem Using a Map Reduction

Author(s): Renato Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave
Published in: Journal of Nonlinear Science, Issue 32, 2021, Page(s) 4, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-021-09767-5

Invariant manifolds near 1 and 2 in the quasi-bicircular problem

Author(s): José J Rosales; Ángel Jorba; Marc Jorba-Cusco
Published in: Celestial Mechanics and Dynamical Astronomy, Issue 135, 2023, Page(s) 15, ISSN 0923-2958
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10569-021-10054-4

Thermal decay rates of an activated complex in a driven model chemical reaction

Author(s): Robin Bardakcioglu, Johannes Reiff, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Published in: Physical Review E, Issue 102/6, 2020, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.102.062204

Geometrodynamic approach to conjugate points and the Maslov index

Author(s): A. Vergel; J. Montes; F. Borondo
Published in: Phys Rev E, Issue 106, 2022, Page(s) 064213, ISSN 2470-0053
Publisher: APS Publishing
DOI: 10.1103/physreve.106.064213

Optimal quantum reservoir computing for the noisy intermediate-scale quantum era

Author(s): Domingo, L; Carlo, G; Borondo, F
Published in: Physical Review E, Issue 106, 2022, Page(s) L043301, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.106.l043301

Envelope-Driven Recollisions Triggered by an Elliptically Polarized Pulse

Author(s): J. Dubois, C. Chandre, T. Uzer
Published in: Physical Review Letters, Issue 124/25, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.124.253203

Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori

Author(s): Joan Gimeno; Àngel Jorba; Begon͂a Nicolás; Estrella Olmedo
Published in: SIAM Journal On Applied Dynamical Systems, Issue 21, 2022, Page(s) 1832, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/21m1458363

Numerical integration of high-order variational equations of ODEs

Author(s): Joan Gimeno; Àngel Jorba; Marc Jorba-Cuscó; Narcís Miguel; Maorong Zou
Published in: Applied Mathematics and Computation, Issue 442, 2023, Page(s) 127743, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2022.127743

Controlling reaction dynamics in chemical model systems through external driving

Author(s): Johannes Reiff, Robin Bardakcioglu, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Published in: Physica D: Nonlinear Phenomena, Issue 427, 2021, Page(s) 133013, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2021.133013

Transition state dynamics of a driven magnetic free layer

Author(s): Johannes Mögerle, Robin Schuldt, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 105, 2021, Page(s) 106054, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.106054

Transition state theory characterizes thin film macrospin dynamics driven by an oscillatory magnetic field: Inertial effects

Author(s): Michael Maihöfer, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 115, 2022, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106764

Dynamics and decay rates of a time-dependent two-saddle system

Author(s): Johannes Reiff, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Published in: Physical Review E, Issue 103/2, 2021, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.103.022121

The geometry of transition states: How invariant manifolds determine reaction rates

Author(s): Revuelta Peña, Fabio; Benito Zafrilla, Rosa Maria; Bartsch, Thomas; Borondo Rodríguez, Florentino
Published in: CHAOS 2017 - Proceedings 10 th Chaotic Modeling and Simulation International Conference, 2017
Publisher: ISAST: International Society for the Advancement of Science and Technology

Bifurcation dans la configuration électronique d'un atome soumis à un champ laser de forte intensité

Author(s): Dubois , Jonathan; Berman , S ,; Chandre , C.; Uzer , T
Published in: 21ème Rencontre du Non Linéaire, 2018, ISBN 978-2-9538596-6-9
Publisher: Non-Linéaire Publications (NL Pub.)

Solar Sail resonant periodic orbits in the augmented Earth-Moon Quasi-Bicircular Problem

Author(s): Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
Published in: Proceedings of the 69th International Astronautical Congress, 2018
Publisher: International Astronautical Federation (IAF)

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