On the volume of singular-hyperbolic sets

DOI10.1080/14689360601165217zbMath1226.37014arXivmath/0509306OpenAlexW2124073360MaRDI QIDQ3534030

Vítor Araújo, Vilton Pinheiro, José F. Alves, Maria Jose Pacifico

Publication date: 3 November 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509306

zbMATH Keywords

volumerobust classessingular-hyperbolic attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcations of singular points in dynamical systems (37G10) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (8)

Physical measures for ash attractors ⋮ Multidimensional Rovella-like attractors ⋮ Topological structure of (partially) hyperbolic sets with positive volume ⋮ Volume of singular hyperbolic sets ⋮ On Araujo's theorem for flows ⋮ Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system ⋮ Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps ⋮ Saturation of generalized partially hyperbolic attractors

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