The regularity of central leaves of partially hyperbolic sets and its applications

DOI10.1070/IM2006v070n06ABEH002340zbMath1136.37019OpenAlexW2047737243MaRDI QIDQ5445149

A. S. Gorodetskii

Publication date: 3 March 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2006v070n06abeh002340

zbMATH Keywords

Lyapunov exponentsHölder continuitycentral foliationskew-product mapsintrinsic hyperbolicitypartially hyperbolic invariant sets

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (13)

Sternberg linearization theorem for skew products ⋮ Robust tangencies of large codimension ⋮ Multichaos from Quasiperiodicity ⋮ Thick attractors of boundary preserving diffeomorphisms ⋮ On $C^{2}$-stable effects of intermingled basins of attractors in classes of boundary-preserving maps ⋮ Nondensity of the orbital shadowing property in $C^{1}$-topology ⋮ Path connectedness and entropy density of the space of hyperbolic ergodic measures ⋮ Attractors and skew products ⋮ Persistence of nonhyperbolic measures for \(C^{1}\)-diffeomorphisms ⋮ Shadowing in linear skew products ⋮ Equilibrium states for a class of skew products ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open ⋮ Center Lyapunov exponents in partially hyperbolic dynamics

This page was built for publication: The regularity of central leaves of partially hyperbolic sets and its applications