Statistical stability of Geometric Lorenz attractors
Dynamical Systems
2013-12-06 v2
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 the 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.
Keywords
Cite
@article{arxiv.1209.6504,
title = {Statistical stability of Geometric Lorenz attractors},
author = {Jose F. Alves and Mohammad Soufi},
journal= {arXiv preprint arXiv:1209.6504},
year = {2013}
}
Comments
11 pages, 2 figures