Abstract: In classical KAM theory, a certain nondegeneracy of the Hessian of the unperturbed Hamiltonian is crucial to show the existence of invariant tori. These invariant tori have to be the graphs of Lipschitz functions. However, when such a type of nondegeneracy is violated, very little is known. Inspired by some numerical examples of Simó, we will show the existence of mushroom-shaped non-graph meandering invariant tori and that they are generic. This is a joint work in progress with Vadim Kaloshin and Yi Pan.
Mushroom KAM theory
11.04.2025 17:00 - 18:00
Organiser:
H. Bruin, R. Zweimüller
Location:
BME Budapest