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TraX SIGNED

Stability and Transitions in Physical Processes

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

TraX project word cloud

Explore the words cloud of the TraX project. It provides you a very rough idea of what is the project "TraX" about.

strategically existence dynamics periodic obtain behave sciences mechanics cnrs space objects hopkins equilibria country coexist trajectories involve chemistry science qualitative realized chemists physics atomic framework aut hamiltonian molecular dynamical coordinated mechanisms chosen marseille strategy reorganization attached surfaces university description universal polytechnic barcelona stuttgart universidad many linking mathematics behavior georgia represented fruitful evolution loughborough computing oacute dimensional center noma ways orbits natural behaviors encode madrid time invariant act first yield theoretical collaborative school manifolds physicists johns transition theory exchange celestial mathematicians relies multidisciplinary aix considerable landmarks organize

Project "TraX" data sheet

The following table provides information about the project.

Coordinator	LOUGHBOROUGH UNIVERSITY Organization address address: ASHBY ROAD city: LOUGHBOROUGH postcode: LE11 3TU website: www.lboro.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Project website	http://www.traxnetwork.eu
Total cost	711˙000 €
EC max contribution	526˙500 € (74%)
Programme	1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
Code Call	H2020-MSCA-RISE-2016
Funding Scheme	MSCA-RISE
Starting year	2017
Duration (year-month-day)	from 2017-03-01 to 2021-02-28

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	LOUGHBOROUGH UNIVERSITY LOUGHBOROUGH UNIVERSITY Organization address address: ASHBY ROAD city: LOUGHBOROUGH postcode: LE11 3TU website: www.lboro.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (LOUGHBOROUGH)	coordinator	63˙000.00
2	UNIVERSITAT DE BARCELONA UNIVERSITAT DE BARCELONA Organization address address: GRAN VIA DE LES CORTS CATALANES 585 city: BARCELONA postcode: 8007 website: http://www.ub.es contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	ES (BARCELONA)	participant	144˙000.00
3	UNIVERSIDAD POLITECNICA DE MADRID UNIVERSIDAD POLITECNICA DE MADRID Organization address address: CALLE RAMIRO DE MAEZTU 7 EDIFICIO RECTORADO city: MADRID postcode: 28040 website: www.upm.es contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	ES (MADRID)	participant	90˙000.00
4	UNIVERSITAET STUTTGART UNIVERSITAET STUTTGART Organization address address: KEPLERSTRASSE 7 city: STUTTGART postcode: 70174 website: www.uni-stuttgart.de contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	DE (STUTTGART)	participant	72˙000.00
5	UNIVERSIDAD AUTONOMA DE MADRID UNIVERSIDAD AUTONOMA DE MADRID Organization address address: CALLE EINSTEIN 3 CIUDAD UNIV CANTOBLANCO RECTORADO city: MADRID postcode: 28049 website: http://www.uam.es contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	ES (MADRID)	participant	63˙000.00
6	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Organization address address: RUE MICHEL ANGE 3 city: PARIS postcode: 75794 website: www.cnrs.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	participant	54˙000.00
7	UNIVERSITE D'AIX MARSEILLE UNIVERSITE D'AIX MARSEILLE Organization address address: Boulevard Charles Livon 58 city: Marseille postcode: 13284 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (Marseille)	participant	40˙500.00
8	GEORGIA TECH RESEARCH CORPORATION GEORGIA TECH RESEARCH CORPORATION Organization address address: GEORGIA INSTITUTE OF TECHNOLOGY city: ATLANTA GA postcode: 30332 0420 website: www.gtrc.gatech.edu contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (ATLANTA GA)	partner	0.00
9	JOHNS HOPKINS UNIVERSITY JOHNS HOPKINS UNIVERSITY Organization address address: NORTH CHARLES STREET 3400 city: BALTIMORE postcode: 21218 website: www.hopkinsmedicine.org contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	US (BALTIMORE)	partner	0.00

Map

Project objective

Many dynamical processes in natural sciences are organized by invariant objects that behave in rather simple ways under time evolution, such as equilibria, periodic orbits, or higher-dimensional invariant surfaces. These objects and the invariant manifolds attached to them act as landmarks that organize the behavior of other trajectories and yield a qualitative description of the dynamics. By computing strategically chosen landmarks, one can obtain considerable information of the possible behaviors of the system. This strategy is particularly fruitful in Hamiltonian systems, in which a large number of invariant manifolds coexist. For example, it has been realized in recent years that Transition State theory, a framework first developed in chemistry and then applied to other fields of science, relies on the existence of invariant manifolds in phase space. These manifolds encode the essential dynamics of various reorganization processes. The objective of this RISE proposal is to build a multidisciplinary exchange programme around the determination of invariant dynamical objects which encompass applied mathematics, atomic and molecular physics, chemistry and celestial mechanics. The project aims at linking mathematicians, physicists and chemists to identify the universal mechanisms behind dynamical transition processes. The proposed collaborative project will be coordinated by the School of Mathematics of Loughborough University, and will involve the Department of Mathematics of the University of Barcelona, the Center for Theoretical Physics (CNRS / Aix Marseille University), the Physics Department of the Polytechnic University of Madrid, the Chemistry Department at the Universidad Autónoma of Madrid and the Physics Department at the University of Stuttgart. The third country partners are Georgia Institute of Technology, represented by the School of Mathematics and the School of Physics and Johns Hopkins University, represented by the School of Chemistry.

Publications

List of publications.
year	authors and title	journal	last update
2020	Martin TschÃ¶pe, Matthias Feldmaier, JÃ¶rg Main, Rigoberto Hernandez Neural network approach for the dynamics on the normally hyperbolic invariant manifold of periodically driven systems published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.101.022219	Physical Review E 101/2	2020-03-05
2019	Matthias Feldmaier, Robin Bardakcioglu, Johannes Reiff, JÃ¶rg Main, Rigoberto Hernandez Phase-space resolved rates in driven multidimensional chemical reactions published pages: 244108, ISSN: 0021-9606, DOI: 10.1063/1.5127539	The Journal of Chemical Physics 151/24	2020-02-06
2019	J. Dubois, S. A. Berman, C. Chandre, T. Uzer Inclusion of Coulomb effects in laser-atom interactions published pages: 53405, ISSN: 2469-9926, DOI: 10.1103/PhysRevA.99.053405	Physical Review A 99/5	2020-02-06
2019	S A Berman, C Chandre, J Dubois, M Perin, T Uzer Classical versus quantum views of intense laser pulse propagation in gases published pages: 125601, ISSN: 0953-4075, DOI: 10.1088/1361-6455/ab1c12	Journal of Physics B: Atomic, Molecular and Optical Physics 52/12	2020-02-06
2018	S.A. Berman, C. Chandre, J. Dubois, F. Mauger, M. Perin, T. Uzer Variational formulation of classical and quantum models for intense laser pulse propagation published pages: 66-84, ISSN: 0003-4916, DOI: 10.1016/j.aop.2018.10.002	Annals of Physics 399	2019-10-09
2018	Lei Zhang, Rafael de la Llave Transition state theory with quasi-periodic forcing published pages: 229-243, ISSN: 1007-5704, DOI: 10.1016/j.cnsns.2018.02.014	Communications in Nonlinear Science and Numerical Simulation 62	2019-07-18
2018	S. A. Berman, J. Dubois, C. Chandre, M. Perin, T. Uzer Coherent buildup of high-order harmonic radiation: The classical perspective published pages: 061402(R), ISSN: 2469-9926, DOI: 10.1103/PhysRevA.97.061402	Physical Review A 97/6	2019-07-18
2017	Matthias Feldmaier, Andrej Junginger, JÃ¶rg Main, GÃ¼nter Wunner, Rigoberto Hernandez Obtaining time-dependent multi-dimensional dividing surfaces using Lagrangian descriptors published pages: 194-199, ISSN: 0009-2614, DOI: 10.1016/j.cplett.2017.09.008	Chemical Physics Letters 687	2019-07-18
2017	Andrej Junginger, Lennart Duvenbeck, Matthias Feldmaier, JÃ¶rg Main, GÃ¼nter Wunner, Rigoberto Hernandez Chemical dynamics between wells across a time-dependent barrier: Self-similarity in the Lagrangian descriptor and reactive basins published pages: 64101, ISSN: 0021-9606, DOI: 10.1063/1.4997379	The Journal of Chemical Physics 147/6	2019-07-18
2018	F. Revuelta, Thomas Bartsch, R. M. Benito, and F. Borondo The geometry of transition states: How invariant manifolds determine reaction rates published pages: 305-318, ISSN: 2241-0503, DOI:	Chaotic Modeling and Simulation 3	2019-07-18
2017	Andrej Junginger, JÃ¶rg Main, GÃ¼nter Wunner, Rigoberto Hernandez Variational principle for the determination of unstable periodic orbits and instanton trajectories at saddle points published pages: , ISSN: 2469-9926, DOI: 10.1103/PhysRevA.95.032130	Physical Review A 95/3	2019-07-18
2019	Matthias Feldmaier, Philippe Schraft, Robin Bardakcioglu, Johannes Reiff, Melissa Lober, Martin TschÃ¶pe, Andrej Junginger, JÃ¶rg Main, Thomas Bartsch, Rigoberto Hernandez Invariant Manifolds and Rate Constants in Driven Chemical Reactions published pages: 2070-2086, ISSN: 1520-6106, DOI: 10.1021/acs.jpcb.8b10541	The Journal of Physical Chemistry B 123/9	2019-07-18
2017	F. Revuelta, Galen T. Craven, Thomas Bartsch, F. Borondo, R. M. Benito, Rigoberto Hernandez Transition state theory for activated systems with driven anharmonic barriers published pages: 74104, ISSN: 0021-9606, DOI: 10.1063/1.4997571	The Journal of Chemical Physics 147/7	2019-07-18
2018	Robin Bardakcioglu, Andrej Junginger, Matthias Feldmaier, JÃ¶rg Main, Rigoberto Hernandez Binary contraction method for the construction of time-dependent dividing surfaces in driven chemical reactions published pages: 32204, ISSN: 2470-0045, DOI: 10.1103/physreve.98.032204	Physical Review E 98/3	2019-07-18
2018	Philippe Schraft, Andrej Junginger, Matthias Feldmaier, Robin Bardakcioglu, JÃ¶rg Main, GÃ¼nter Wunner, Rigoberto Hernandez Neural network approach to time-dependent dividing surfaces in classical reaction dynamics published pages: , ISSN: 2470-0045, DOI: 10.1103/PhysRevE.97.042309	Physical Review E 97/4	2019-07-18
2018	Marc Jorba-CuscÃ³, Ariadna FarrÃ©s, Ã€ngel Jorba Solar Sail resonant periodic orbits in the augmented Earth-Moon Quasi-Bicircular Problem published pages: , ISSN: , DOI:	Proceedings of the 69th International Astronautical Congress	2019-07-18
2018	Marc Jorba-CuscÃ³, Ariadna FarrÃ©s, Ã€ngel Jorba Two Periodic Models for the Earth-Moon System published pages: 32, ISSN: 2297-4687, DOI: 10.3389/fams.2018.00032	Frontiers in Applied Mathematics and Statistics 4	2019-07-18
2018	Joan Gimeno, Ã€ngel Jorba, Josep SardanyÃ©s On the effect of time lags on a saddle-node remnant in hyperbolic replicators published pages: 385601, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aad02f	Journal of Physics A: Mathematical and Theoretical 51/38	2019-07-18
2019	Alex Haro, Alejandro Luque A-posteriori KAM theory with optimal estimates for partially integrable systems published pages: 1605-1674, ISSN: 0022-0396, DOI: 10.1016/j.jde.2018.08.003	Journal of Differential Equations 266/2-3	2019-07-18
2018	J. Dubois, S.â€‰A. Berman, C. Chandre, T. Uzer Capturing Photoelectron Motion with Guiding Centers published pages: 113202, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.113202	Physical Review Letters 121/11	2019-07-18

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