Bumpy metric theorem in the sense of Mané for non-convex Hamiltonians

Shahriar Aslani (1, 2) , Patrick Bernard (1, 3, 4, 5)

1 PSL - Université Paris Sciences et Lettres
2 DMA - Département de Mathématiques et Applications - ENS Paris
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
4 CNRS - Centre National de la Recherche Scientifique
5 Université Paris Dauphine-PSL

We prove a bumpy metric theorem in the sense of Ma\~{n}e for non-convex Hamiltonians that are satisfying a certain geometric property.

Domaines: Systèmes dynamiques [math.DS]

Shahriar Aslani, Patrick Bernard. Bumpy metric theorem in the sense of Mané for non-convex Hamiltonians. 2022. ⟨hal-03528429⟩