Normal form near orbit segments of convex Hamiltonian systems.

Shahriar Aslani (1) , Patrick Bernard (2, 1)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove a normal form along orbit segments of convex Hamiltonian systems which is useful to understand to what extent perturbations modify the linearized transition map.

Domaines: Systèmes dynamiques [math.DS]

Shahriar Aslani, Patrick Bernard. Normal form near orbit segments of convex Hamiltonian systems.. International Mathematics Research Notices, 2022, 11, pp.8196-8208. ⟨10.1093/imrn/rnaa344⟩. ⟨hal-02550940v3⟩