Statistical instability for contracting Lorenz flows

• Type: Article in International Scientific Journal
• Date: 2019

Authors

alves, jf (Author) FCUP; Khan, MA (Author) Other

Journal

Title: Nonlinearity

Vol. 32

Pages: 4413-4444

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-00R-4NJ

DOI: 10.1088/1361-6544/ab2f48

Abstract (EN): We consider one parameter families of vector fields introduced by Rovella, obtained through modifying the eigenvalues of the geometric Lorenz attractor, replacing the expanding condition on the eigenvalues of the singularity by a contracting one. We show that there is no statistical stability within the set of parameters for which there is a physical measure supported on the attractor. This is achieved obtaining a similar conclusion at the level of the corresponding one-dimensional contracting Lorenz maps.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 32