Workshop: The dynamics of conformally Hamiltonian flows: dissipativity and conservativity

Date: 2023-04-15

Time: 11:00 - 12:00


Marie-Claude Arnaud, University de Paris


We will introduce the notion of locally symplectic manifolds: they are manifolds endowed with a symplectic form that is only locally defined, and we will study their autonomous Hamiltonian systems. We will explain that they may have dissipative and conservative behaviours in a robust way. We will also explain why certain rotational invariant tori are Lagrangian.

This is a joint work with Simon Allais, Université de Paris Cité.