Persistence of Bowen-Ruelle-Sinai measures

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Maria Pires De Carvalho (Author) FCUP

Journal

Title: Discrete and Continuous Dynamical Systems

Vol. 17

Pages: 213-221

ISSN: 1078-0947

Publisher: American Institute of Mathematical Sciences

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-CYF

Abstract (EN): We study the changes on the Bowen-Ruelle-Sinai measures along an arc that starts at an Anosov diffeomorphism on a two-torus and reaches the boundary of its stability component while a flat homoclinic tangency or a first cubic heteroclinic tangency is happening. The outermost diffeomorphisms of such arcs are not hyperbolic but are conjugate to the original Anosov diffeomorphism and share similar ergodic traits. In particular, the torus is a global attractor with a full supported physical measure.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9