Stability and dynamical systems

Project Information

Grant agreement ID: FMBI950080

Project closed

Start date 1 February 1996

End date 31 January 1997

Funded under

• Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998

Total cost No data

EU contribution No data

Coordinated by

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES
France

Objective

The project covers two research fields: (1) application of the methods of quantum field theory to the study of the perturbative series of KAM theory, in particular to (1.1) the analysis of the universality for the breakdown of the invariant tori (an interesting open problem, on which one has only partial and numerical results, and one lacks a rigorous theory), and to (1.2) the study of heteroclinic angles for whiskered tori, related to the phenomenon of Arnol'd diffusion in phase space; (2) analytic discussion of the thermodynamic properties of Axiom A flows, in view of a numerical test of Ruelle's principle (stating that for some many particle systems, as far as only macroscopical properties are involved, the theory of hyperbolic systems can be applied).

Fields of science

• natural sciences › mathematics › applied mathematics › dynamical systems
• natural sciences › physical sciences › quantum physics › quantum field theory

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
• TM24 - Applied Mathematics

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

INSTITUT DES HAUTES ETUDES SCIENTIFIQUES

• EU contribution: No data
• Address: 35,Route de Chartres 35 ; 91440 BURES-SUR-YVETTE ; France
• Total cost: No data

Participants (1)

Not available

Italy

• EU contribution: No data
• Total cost: No data