Statistical stability of geometric Lorenz attractors

José F. Alves, and Mohammad Soufi. "Statistical stability of geometric Lorenz attractors." Fundamenta Mathematicae 224.3 (2014): 219-231. <http://eudml.org/doc/282966>.

@article{JoséF2014,
abstract = {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.},
author = {José F. Alves, Mohammad Soufi},
journal = {Fundamenta Mathematicae},
keywords = {Lorenz attractor; Lorenz map; Poincaré section; SRB measure; statistical stability},
language = {eng},
number = {3},
pages = {219-231},
title = {Statistical stability of geometric Lorenz attractors},
url = {http://eudml.org/doc/282966},
volume = {224},
year = {2014},
}

TY - JOUR
AU - José F. Alves
AU - Mohammad Soufi
TI - Statistical stability of geometric Lorenz attractors
JO - Fundamenta Mathematicae
PY - 2014
VL - 224
IS - 3
SP - 219
EP - 231
AB - 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.
LA - eng
KW - Lorenz attractor; Lorenz map; Poincaré section; SRB measure; statistical stability
UR - http://eudml.org/doc/282966
ER -