Objective Application of classical perturbation theory to the problem of stability of orbits in classical dynamical systems. More precisly, development of an integrated analytical and numerical (or semi-numerical) perturbation shceme for near to integrable Hamiltonian systems, based on the theorem of Kolmogorov, Arnold and Moser, and on the theorem of Nekhoroskev. The analytical part consists of a constructive perturbation algorithm completed with all the necessary quantitative estimates. The numerical part requires use of symbolic manipulations in order to compute explicitly the stability parameters of the theory. Application is planned to problems of stability in celestial mechanics, e.g. the problem of three bodies. However, in view of the common mathematical structure, application to problems related to different fields is also not excluded. Fields of science natural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesphysical sciencesastronomyplanetary sciencescelestial mechanics Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TM25 - Mathematical Theory Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE Address Observatoire de la côte d'azur, bd. de l'observato 06304 Nice France See on map EU contribution € 0,00 Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Italy EU contribution € 0,00 Address See on map
