Geodesic
Statistical stability of geometric Lorenz attractors
José F. Alves1 ; Mohammad Soufi1
1Departamento 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
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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 
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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

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