English

Generic properties of magnetic flows

Dynamical Systems 2016-01-06 v1

Abstract

We obtain Kupka-Smale theorem and Franks lemma for magnetic flows on manifolds with any dimension. This improves Miranda result on surfaces. However our methods relies on geometric control theory, like in Rifford and Ruggiero articles.

Keywords

Cite

@article{arxiv.1601.00935,
  title  = {Generic properties of magnetic flows},
  author = {Alexander Arbieto and Freddy Castro},
  journal= {arXiv preprint arXiv:1601.00935},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1502.01145 by other authors

R2 v1 2026-06-22T12:23:29.506Z