THREE-DIMENSIONAL CONSERVATIVE STAR FLOWS ARE ANOSOV

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Mario Bessa (Author) Other; Jorge Rocha (Author) FCUP

Journal

Title: Discrete and Continuous Dynamical Systems

Vol. 26

Pages: 839-846

ISSN: 1078-0947

Publisher: American Institute of Mathematical Sciences

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 13 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-8HD

DOI: 10.3934/dcds.2010.26.839

Abstract (EN): A divergence-free vector field satisfies the star property if any divergence-free vector field in some C(1)-neighborhood has all the singularities and all closed orbits hyperbolic. In this article we prove that any divergence-free star vector field defined in a closed three-dimensional manifold is Anosov. Moreover, we prove that a C(1)-structurally stable three-dimensional conservative flow is Anosov.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8