Statistical instability for contracting Lorenz flows

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

alves, jf (Autor) FCUP; Khan, MA (Autor) Outra

Revista

Título: Nonlinearity

Vol. 32

Páginas: 4413-4444

ISSN: 0951-7715

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 3 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 32