Statistical stability of geometric Lorenz attractors

• Type: Article in International Scientific Journal
• Date: 2014

Authors

alves, jf (Author) FCUP; soufi, m (Author) Other

Journal

Title: Fundamenta Mathematicae

Vol. 224

Pages: 219-231

ISSN: 0016-2736

Publisher: POLSKA AKADEMIA NAUK

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 13 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-009-SQ9

DOI: 10.4064/fm224-3-2

Abstract (EN): We consider the robust family of geometric Lorenz attractors. These attractors are chaotic, in the sense that they are transitive and have sensitive dependence on initial conditions. Moreover, they support SRB measures whose ergodic basins cover a full Lebesgue measure subset of points in the topological basin of attraction. Here we prove that the SRB measures depend continuously on the dynamics in the weak* topology.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13