A Poincar\'e-Birkhoff theorem for Hamiltonian flows on nonconvex domains

Autor:	Fonda, Alessandro, Ureña, Antonio J.
Rok vydání:	2018
Předmět:	Mathematics - Symplectic Geometry Mathematics - Dynamical Systems 34C25 37J10
Druh dokumentu:	Working Paper
DOI:	10.13140/RG.2.2.11664.10241
Popis:	We present a higher-dimensional version of the Poincar\'e-Birkhoff theorem which applies to Poincar\'e time maps of Hamiltonian systems. The maps under consideration are neither required to be close to the identity nor to have a monotone twist. The annulus is replaced by the product of an $N$-dimensional torus and the interior of a $(N-1)$-dimensional (not necessarily convex) embedded sphere; on the other hand, the classical boundary twist condition is replaced by an avoiding rays condition.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.02980 Zobrazit plný text záznamu View this record from Arxiv