Memorias de investigación
Research Project:
Stability and transitions in physical processes (TraX)

Research Areas
  • Physics chemical and mathematical

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) in Marseille, the Department of Theoretical Physics of the University of Stuttgart, the Department of Chemistry of the Autónoma University of Madrid, the University of Barcelona, and the Group of Complex Systems of the Polytechnic University of Madrid. The Georgia Institute of Technology, represented by the School of Mathematics and the School of Physics and the John-Hopkins University are the American partners.
Project type
Proyectos y convenios en convocatorias públicas competitivas
Unión Europea
Entity Nationality
Entity size
Granting date
  • Director: Thomas Bartsch Loughborough University
  • Participante: Fabio Revuelta Peña UPM
  • Participante: Rosa Maria Benito Zafrilla UPM
  • Participante: Florentino Borondo Rodríguez Universidad Autónoma de Madrid
  • Participante: Àngel Jorba Universitat de Barcelona
  • Participante: Álex Haro Universitat de Barcelona
  • Participante: Marc Jorba-Cuscó Universitat de Barcelona
  • Participante: Cristel Chand¿e CNRS
  • Participante: Maxime Perin CNRS
  • Participante: Rafael de la Llave Georgia Institute of Technology
  • Participante: Turgay Uzer Georgia Institute of Technology
  • Participante: Rigoberto Hernandez John Hopkins University

Research Group, Departaments and Institutes related
  • Creador: Departamento: Ingeniería Agroforestal