English

Topological stability for conservative systems

Dynamical Systems 2011-12-16 v1

Abstract

We prove that the C1-interior of the set of all topologically stable C1-incompressible flows is contained in the set of Anosov incompressible flows. Moreover, we obtain an analogous result for the discrete-time case.

Keywords

Cite

@article{arxiv.1006.3725,
  title  = {Topological stability for conservative systems},
  author = {Mario Bessa and Jorge Rocha},
  journal= {arXiv preprint arXiv:1006.3725},
  year   = {2011}
}

Comments

8 pages

R2 v1 2026-06-21T15:38:14.664Z