Non-resonant circles for strong magnetic fields on surfaces

Autor:	Asselle, L., Benedetti, G.
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	We study non-resonant circles for strong magnetic fields on a closed, connected, oriented surface and show how these can be used to prove the existence of trapping regions and of periodic magnetic geodesics with prescribed low speed. As a corollary, there exist infinitely many periodic magnetic geodesics for every low speed in the following cases: i) the surface is not the two-sphere, ii) the magnetic field vanishes somewhere. Comment: 13 Pages, Comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.06733 Zobrazit plný text záznamu View this record from Arxiv