28 février 2024 à 1 mars 2024
Institut d'Astrophysique de Paris
Fuseau horaire Europe/Paris

Theoretical and numerical study of recurrent dynamics in dynamical systems and application to the N-body problem

28 févr. 2024, 10:15
15m
Amphithéâtre Henri Mineur (Institut d'Astrophysique de Paris)

Amphithéâtre Henri Mineur

Institut d'Astrophysique de Paris

Institut d'astrophysique de Paris 98 bis Boulevard Arago 75014 PARIS
Oral presentation Session 1

Orateur

Alexandre Prieur (IMCCE, Observatoire de Paris-PSL)

Description

In a famous anagram, Newton wrote that the laws of nature are described by differential equations. However, these equations are not solvable in the general case, in the sense that their solutions cannot be expressed through elementary functions. Stemming from this observation, the theory of dynamical systems aims to determine not the exact state of a system over time, but rather the qualitative behaviour of solutions, possibly on large time scales.

Our work is part of this theory, and aims to highlight, using both mathematical and numerical methods, certain recurrent dynamics of these systems - periodic and quasi-periodic orbits, center manifolds, etc. In this talk, I will describe their application to the three-body problem, with the case of equal masses and that of a perturbed planetary problem.

Day constraints

De préférence le mercredi, pas d'obligation cependant

Astrophysics Field Planetology (including small bodies and exoplanets)

Auteur principal

Alexandre Prieur (IMCCE, Observatoire de Paris-PSL)

Documents de présentation

Aucun document.