Stability and Transitions in Physical Processes

Risultati finali

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

Pubblicazioni

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

Autori: F. Revuelta; Rosa M. Benito; Florentino Borondo
Pubblicato in: Physical Review E, Numero 104, 2021, Pagina/e 044210, ISSN 2470-0053
Editore: American Physical Society
DOI: 10.48550/arxiv.2110.09989

Deep learning methods for the computation of vibrational wavefunctions

Autori: Laia Domingo; Laia Domingo; Florentino Borondo; Florentino Borondo
Pubblicato in: Communications in nonlinear science & numerical simulation, Numero 103, 2021, Pagina/e 105989, ISSN 1007-5704
Editore: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105989

Finite-barrier corrections for multidimensional barriers in colored noise

Autori: Thomas Bartsch; F Revuelta; R M Benito; F Borondo
Pubblicato in: Physical Review E, Numero 99, 2019, Pagina/e 052211, ISSN 2470-0053
Editore: American Physical Society
DOI: 10.1103/physreve.99.052211

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

Autori: E. Floriani; J. Dubois; C. Chandre
Pubblicato in: Physica D: Nonlinear Phenomena, Numero 431, 2022, Pagina/e 133124, ISSN 0167-2789
Editore: Elsevier BV
DOI: 10.1016/j.physd.2021.133124

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

Autori: Adrián P Bustamante; Cristel Chandre
Pubblicato in: SIAM Journal of Applied Dynamical Systems, Numero 22, 2023, Pagina/e 483-500, ISSN 1536-0040
Editore: 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

Autori: Núria Fagella, Angel Jorba, Marc Jorba-Cuscó, Joan Carles Tatjer
Pubblicato in: Discrete and Continuous Dynamical Systems, Numero 39:7, 2019, Pagina/e 3767-3787, ISSN 1078-0947
Editore: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2019153

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

Autori: Àngel Jorba, Marc Jorba-Cuscó, José J. Rosales
Pubblicato in: Celestial Mechanics and Dynamical Astronomy, Numero 132:11, 2020, ISSN 1572-9478
Editore: Springer
DOI: 10.1007/s10569-019-9940-2

Effective bounds for the measure of rotations

Autori: Jordi-Lluís Figueras; Àlex Haro; Alejandro Luque
Pubblicato in: Nonlinearity, Numero 33, 2019, Pagina/e 700-741, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab500d

Dynamical organization of recollisions by a family of invariant tori

Autori: J. Dubois; M. Jorba-Cuscó; À. Jorba; C. Chandre
Pubblicato in: SIAM Journal on Applied Dynamical Systems, Numero 21, 2022, Pagina/e 523-541, ISSN 1536-0040
Editore: 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

Autori: Jiaqi Yiang; Joan Gimeno; Rafael de la Llave
Pubblicato in: Journal of Differential Equations, Numero 338, 2022, Pagina/e 76-127, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2022.07.033

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

Autori: Micha M. Schleeh, Johannes Reiff, Pablo L. García-Müller, Rosa M. Benito, Florentino Borondo, Jörg Main, and Rigoberto Hernandez
Pubblicato in: The Journal of Chemical Physics, Numero 156/3, 2022, Pagina/e 034103, ISSN 0021-9606
Editore: 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

Autori: Gonzalez, Francisco; Borondo, Florentino; Jung, Christof
Pubblicato in: Communications in nonlinear science & numerical simulation, Numero 90, 2020, Pagina/e 105282, ISSN 1007-5704
Editore: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105282

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

Autori: Rosales de Cáceres, José J. Jorba i Monte, Àngel Jorba Cuscó, Marc
Pubblicato in: Celestial Mechanics and Dynamical Astronomy, Numero 113, 2021, Pagina/e 16, ISSN 0923-2958
Editore: 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

Autori: Manuel Kuchelmeister, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Pubblicato in: Regular and Chaotic Dynamics, Numero 25/5, 2020, Pagina/e 496-507, ISSN 1560-3547
Editore: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354720050068

Rate calculation in two-dimensional barriers with colored noise

Autori: F. Revuelta; Thomas Bartsch; Rosa M. Benito; Florentino Borondo
Pubblicato in: Indian Academy of Sciences Conference Series, Numero 1, 2017, Pagina/e 145-155, ISSN 0000-0000
Editore: 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

Autori: J. Dubois, C. Chandre, T. Uzer
Pubblicato in: Physical Review E, Numero 102/3, 2020, Pagina/e 032218, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.102.032218

Non-twist tori in conformally symplectic systems

Autori: Calleja, Renato; Canadell, Marta; Haro, Alex
Pubblicato in: Communications in nonlinear science & numerical simulation, Numero 96, 2021, Pagina/e 105695, ISSN 1007-5704
Editore: Elsevier BV
DOI: 10.1007/s10569-021-10057-1

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

Autori: Matthias Feldmaier, Johannes Reiff, Rosa M. Benito, Florentino Borondo, Jörg Main, Rigoberto Hernandez
Pubblicato in: The Journal of Chemical Physics, Numero 153/8, 2020, Pagina/e 084115, ISSN 0021-9606
Editore: American Institute of Physics
DOI: 10.1063/5.0015509

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

Autori: J. Montes; F. Revuelta; F. Revuelta; Florentino Borondo; Florentino Borondo
Pubblicato in: Journal of Physical Chemistry A, Numero 123, 2019, Pagina/e 1622-1629, ISSN 1089-5639
Editore: American Chemical Society
DOI: 10.1021/acs.jpca.8b12043

Adapting reservoir computing to solve the Schrödinger equation

Autori: Laia Domingo Colomer; Javier Borondo; Florentino Borondo
Pubblicato in: Chaos, Numero 32, 2022, Pagina/e 063111, ISSN 1054-1500
Editore: American Institute of Physics
DOI: 10.1063/5.0087785

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

Autori: José J. Rosales; Àngel Jorba; Marc Jorba-Cuscó
Pubblicato in: Celestial Mechanics and Dynamical Astronomy, Numero 135, 2023, Pagina/e 15, ISSN 0923-2958
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10569-023-10129-4

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

Autori: Marco Fenucci; Àngel Jorba
Pubblicato in: Communications in nonlinear science & numerical simulation, Numero 83, 2020, Pagina/e 105105, ISSN 1007-5704
Editore: 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

Autori: Bhanu Kumar; Rodney L. Anderson; Rafael de la Llave
Pubblicato in: Celestial Mechanics and Dynamical Astronomy, Numero 134, 2022, Pagina/e 3, ISSN 0923-2958
Editore: Kluwer Academic Publishers
DOI: 10.48550/arxiv.2105.11100

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

Autori: Marian Gidea; Rafael de la Llave
Pubblicato in: Journal of Nonlinear Science, Numero 28, 2018, Pagina/e 1657–1707, ISSN 0938-8974
Editore: Springer Verlag
DOI: 10.48550/arxiv.1710.01849

Flow map parameterization methods for invariant tori in Hamiltonian systems

Autori: Àlex Haro; Josep-Maria Mondelo
Pubblicato in: Communications in nonlinear science & numerical simulation, Numero 101, 2021, Pagina/e 105859, ISSN 1007-5704
Editore: 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

Autori: Andrej Junginger, Lennart Duvenbeck, Matthias Feldmaier, Jörg Main, Günter Wunner, Rigoberto Hernandez
Pubblicato in: The Journal of Chemical Physics, Numero 147/6, 2017, Pagina/e 064101, ISSN 0021-9606
Editore: American Institute of Physics
DOI: 10.1063/1.4997379

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

Autori: Matthias Feldmaier, Andrej Junginger, Jörg Main, Günter Wunner, Rigoberto Hernandez
Pubblicato in: Chemical Physics Letters, Numero 687, 2017, Pagina/e 194-199, ISSN 0009-2614
Editore: 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

Autori: Andrej Junginger, Jörg Main, Günter Wunner, Rigoberto Hernandez
Pubblicato in: Physical Review A, Numero 95/3, 2017, ISSN 2469-9926
Editore: American Physical Society
DOI: 10.1103/PhysRevA.95.032130

Transition state theory for activated systems with driven anharmonic barriers

Autori: F. Revuelta, Galen T. Craven, Thomas Bartsch, F. Borondo, R. M. Benito, Rigoberto Hernandez
Pubblicato in: The Journal of Chemical Physics, Numero 147/7, 2017, Pagina/e 074104, ISSN 0021-9606
Editore: American Institute of Physics
DOI: 10.1063/1.4997571

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

Autori: Philippe Schraft, Andrej Junginger, Matthias Feldmaier, Robin Bardakcioglu, Jörg Main, Günter Wunner, Rigoberto Hernandez
Pubblicato in: Physical Review E, Numero 97/4, 2018, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/PhysRevE.97.042309

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

Autori: F. Revuelta, Thomas Bartsch, R. M. Benito, and F. Borondo
Pubblicato in: Chaotic Modeling and Simulation, Numero 3, 2018, Pagina/e 305-318, ISSN 2241-0503
Editore: CMSIM

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

Autori: S. A. Berman, J. Dubois, C. Chandre, M. Perin, T. Uzer
Pubblicato in: Physical Review A, Numero 97/6, 2018, Pagina/e 061402(R), ISSN 2469-9926
Editore: American Physical Society
DOI: 10.1103/PhysRevA.97.061402

Capturing Photoelectron Motion with Guiding Centers

Autori: J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Pubblicato in: Physical Review Letters, Numero 121/11, 2018, Pagina/e 113202, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/PhysRevLett.121.113202

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

Autori: S.A. Berman, C. Chandre, J. Dubois, F. Mauger, M. Perin, T. Uzer
Pubblicato in: Annals of Physics, Numero 399, 2018, Pagina/e 66-84, ISSN 0003-4916
Editore: Academic Press
DOI: 10.1016/j.aop.2018.10.002

Guiding-center motion for electrons in strong laser fields

Autori: J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Pubblicato in: Physical Review E, Numero 98/5, 2018, Pagina/e 052219, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/PhysRevE.98.052219

Invariant Manifolds and Rate Constants in Driven Chemical Reactions

Autori: Matthias Feldmaier, Philippe Schraft, Robin Bardakcioglu, Johannes Reiff, Melissa Lober, Martin Tschöpe, Andrej Junginger, Jörg Main, Thomas Bartsch, Rigoberto Hernandez
Pubblicato in: The Journal of Physical Chemistry B, Numero 123/9, 2019, Pagina/e 2070-2086, ISSN 1520-6106
Editore: American Chemical Society
DOI: 10.1021/acs.jpcb.8b10541

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

Autori: Robin Bardakcioglu, Andrej Junginger, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Pubblicato in: Physical Review E, Numero 98/3, 2018, Pagina/e 032204, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.98.032204

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

Autori: Alex Haro, Alejandro Luque
Pubblicato in: Journal of Differential Equations, Numero 266/2-3, 2019, Pagina/e 1605-1674, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2018.08.003

Two Periodic Models for the Earth-Moon System

Autori: Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
Pubblicato in: Frontiers in Applied Mathematics and Statistics, Numero 4, 2018, Pagina/e 32, ISSN 2297-4687
Editore: Frontiers Media SA
DOI: 10.3389/fams.2018.00032

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

Autori: Joan Gimeno, Àngel Jorba, Josep Sardanyés
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 51/38, 2018, Pagina/e 385601, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aad02f

Phase-space resolved rates in driven multidimensional chemical reactions

Autori: Matthias Feldmaier, Robin Bardakcioglu, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Pubblicato in: The Journal of Chemical Physics, Numero 151/24, 2019, Pagina/e 244108, ISSN 0021-9606
Editore: American Institute of Physics
DOI: 10.1063/1.5127539

Inclusion of Coulomb effects in laser-atom interactions

Autori: J. Dubois, S. A. Berman, C. Chandre, T. Uzer
Pubblicato in: Physical Review A, Numero 99/5, 2019, Pagina/e 053405, ISSN 2469-9926
Editore: American Physical Society
DOI: 10.1103/PhysRevA.99.053405

Classical versus quantum views of intense laser pulse propagation in gases

Autori: S A Berman, C Chandre, J Dubois, M Perin, T Uzer
Pubblicato in: Journal of Physics B: Atomic, Molecular and Optical Physics, Numero 52/12, 2019, Pagina/e 125601, ISSN 0953-4075
Editore: 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

Autori: Martin Tschöpe, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Pubblicato in: Physical Review E, Numero 101/2, 2020, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.101.022219

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

Autori: Johannes Reiff, Jonas Zatsch, Jörg Main, Rigoberto Hernandez
Pubblicato in: Communications in Nonlinear Science and Numerical Simulation, Numero 104, 2022, Pagina/e 106053, ISSN 1007-5704
Editore: Elsevier BV
DOI: 10.1016/j.cnsns.2021.106053

Double-ionization mechanisms of magnesium driven by electron impact

Autori: S. Mittal, J. Dubois, C. Chandre, T. Uzer
Pubblicato in: Physical Review A, Numero 101/6, 2020, Pagina/e 062707, ISSN 2469-9926
Editore: American Physical Society
DOI: 10.1103/PhysRevA.101.062707

Identifying reaction pathways in phase space via asymptotic trajectories

Autori: Yutaka Nagahata, F. Borondo, R. M. Benito, Rigoberto Hernandez
Pubblicato in: Physical Chemistry Chemical Physics, Numero 22/18, 2020, Pagina/e 10087-10105, ISSN 1463-9076
Editore: Royal Society of Chemistry
DOI: 10.1039/c9cp06610a

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

Autori: Renato Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave
Pubblicato in: Journal of Nonlinear Science, Numero 32, 2021, Pagina/e 4, ISSN 0938-8974
Editore: Springer Verlag
DOI: 10.1007/s00332-021-09767-5

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

Autori: José J Rosales; Ángel Jorba; Marc Jorba-Cusco
Pubblicato in: Celestial Mechanics and Dynamical Astronomy, Numero 135, 2023, Pagina/e 15, ISSN 0923-2958
Editore: Kluwer Academic Publishers
DOI: 10.1007/s10569-021-10054-4

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

Autori: Robin Bardakcioglu, Johannes Reiff, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Pubblicato in: Physical Review E, Numero 102/6, 2020, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.102.062204

Geometrodynamic approach to conjugate points and the Maslov index

Autori: A. Vergel; J. Montes; F. Borondo
Pubblicato in: Phys Rev E, Numero 106, 2022, Pagina/e 064213, ISSN 2470-0053
Editore: APS Publishing
DOI: 10.1103/physreve.106.064213

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

Autori: Domingo, L; Carlo, G; Borondo, F
Pubblicato in: Physical Review E, Numero 106, 2022, Pagina/e L043301, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.106.l043301

Envelope-Driven Recollisions Triggered by an Elliptically Polarized Pulse

Autori: J. Dubois, C. Chandre, T. Uzer
Pubblicato in: Physical Review Letters, Numero 124/25, 2020, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/PhysRevLett.124.253203

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

Autori: Joan Gimeno; Àngel Jorba; Begon͂a Nicolás; Estrella Olmedo
Pubblicato in: SIAM Journal On Applied Dynamical Systems, Numero 21, 2022, Pagina/e 1832, ISSN 1536-0040
Editore: Society of Industrial and Applied Mathematics
DOI: 10.1137/21m1458363

Numerical integration of high-order variational equations of ODEs

Autori: Joan Gimeno; Àngel Jorba; Marc Jorba-Cuscó; Narcís Miguel; Maorong Zou
Pubblicato in: Applied Mathematics and Computation, Numero 442, 2023, Pagina/e 127743, ISSN 0096-3003
Editore: Elsevier BV
DOI: 10.1016/j.amc.2022.127743

Controlling reaction dynamics in chemical model systems through external driving

Autori: Johannes Reiff, Robin Bardakcioglu, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Pubblicato in: Physica D: Nonlinear Phenomena, Numero 427, 2021, Pagina/e 133013, ISSN 0167-2789
Editore: Elsevier BV
DOI: 10.1016/j.physd.2021.133013

Transition state dynamics of a driven magnetic free layer

Autori: Johannes Mögerle, Robin Schuldt, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Pubblicato in: Communications in Nonlinear Science and Numerical Simulation, Numero 105, 2021, Pagina/e 106054, ISSN 1007-5704
Editore: 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

Autori: Michael Maihöfer, Johannes Reiff, Jörg Main, Rigoberto Hernandez
Pubblicato in: Communications in Nonlinear Science and Numerical Simulation, Numero 115, 2022, ISSN 1007-5704
Editore: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106764

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

Autori: Johannes Reiff, Matthias Feldmaier, Jörg Main, Rigoberto Hernandez
Pubblicato in: Physical Review E, Numero 103/2, 2021, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.103.022121

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

Autori: Revuelta Peña, Fabio; Benito Zafrilla, Rosa Maria; Bartsch, Thomas; Borondo Rodríguez, Florentino
Pubblicato in: CHAOS 2017 - Proceedings 10 th Chaotic Modeling and Simulation International Conference, 2017
Editore: 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

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

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

Autori: Marc Jorba-Cuscó, Ariadna Farrés, Àngel Jorba
Pubblicato in: Proceedings of the 69th International Astronautical Congress, 2018
Editore: International Astronautical Federation (IAF)

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