Topological stability for conservative systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2011Embargo end date: 01 Jan 2010 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 250, pages 3,960-3,966 (issn: 0022-0396,

Copyright policy )Funded by:FCT | Nonuniformly Hyperbolic D..., FCT | ABUNDÂNCIA DE EXPOENTES D...

Authors: Bessa, Mário; Rocha, Jorge;

doi: 10.1016/j.jde.2011.01.009 , 10.48550/arxiv.1006.3725

arXiv: 1006.3725

Topological stability for conservative systems

- Summary
- Subjects
- Metrics

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.

8 pages

Related Organizations

Universidade Lusófona do Porto
Portugal
Polytechnic Institute of Coimbra
Portugal
Instituto Politécnico Nacional
Mexico

Keywords

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, 37C10, 37C15, Anosov systems, Dynamical Systems (math.DS), Volume-preserving flows and diffeomorphisms, Dynamics induced by flows and semiflows, Dynamical systems involving smooth mappings and diffeomorphisms, FOS: Mathematics, Periodic orbits of vector fields and flows, Mathematics - Dynamical Systems, Topological stability, volume-preserving flows and diffeomorphisms, topological stability, Analysis

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%