2012/09/28 by José F. Alves, Jose F. Alves, Alves, Jose F. +2
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS
paper · pdf · doi:10.48550/arxiv.1209.6504
11 pages, 2 figures
openalex publication_date 2012/09/28 · arxiv created 2013/12/05 · arxiv updated 2013/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.