Statistical stability of geometric Lorenz attractors

• Autorzy: José F. Alves , Mohammad Soufi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37D45: Strange attractors, chaotic dynamics
• 37C40: Smooth ergodic theory, invariant measures
• 37C10: Vector fields, flows, ordinary differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 3
• Strony: 219-231

Daty

wydano

2014

Twórcy

autor

José F. Alves

• Departamento de Matemática, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

autor

Mohammad Soufi

• Departamento de Matemática, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

Identyfikatory

DOI

10.4064/fm224-3-2