Geodesic
Statistical stability of geometric Lorenz attractors
José F. Alves 1   ; Mohammad Soufi 1
1 Departamento de Matemática Faculdade de Ciências da Universidade do Porto Rua do Campo Alegre 687 4169-007 Porto, Portugal
Fundamenta Mathematicae, Tome 224 (2014) no. 3, pp. 219-231 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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$^\ast $ topology.
DOI : 10.4064/fm224-3-2
Keywords: consider robust family geometric lorenz attractors these attractors chaotic sense transitive have sensitive dependence initial conditions moreover support srb measures whose ergodic basins cover full lebesgue measure subset points topological basin attraction here prove srb measures depend continuously dynamics weak ast topology

José F. Alves  1   ; Mohammad Soufi  1

1 Departamento de Matemática Faculdade de Ciências da Universidade do Porto Rua do Campo Alegre 687 4169-007 Porto, Portugal 
@article{10_4064_fm224_3_2,
     author = {Jos\'e F. Alves and Mohammad Soufi},
     title = {Statistical stability of geometric {Lorenz} attractors},
     journal = {Fundamenta Mathematicae},
     pages = {219--231},
     year = {2014},
     volume = {224},
     number = {3},
     doi = {10.4064/fm224-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm224-3-2/}
}
TY  - JOUR
AU  - José F. Alves
AU  - Mohammad Soufi
TI  - Statistical stability of geometric Lorenz attractors
JO  - Fundamenta Mathematicae
PY  - 2014
SP  - 219
EP  - 231
VL  - 224
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm224-3-2/
DO  - 10.4064/fm224-3-2
LA  - en
ID  - 10_4064_fm224_3_2
ER  - 
%0 Journal Article
%A José F. Alves
%A Mohammad Soufi
%T Statistical stability of geometric Lorenz attractors
%J Fundamenta Mathematicae
%D 2014
%P 219-231
%V 224
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/fm224-3-2/
%R 10.4064/fm224-3-2
%G en
%F 10_4064_fm224_3_2
José F. Alves; Mohammad Soufi. Statistical stability of geometric Lorenz attractors. Fundamenta Mathematicae, Tome 224 (2014) no. 3, pp. 219-231. doi: 10.4064/fm224-3-2

Cité par Sources :