Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces

DOI10.1007/s00023-011-0100-9zbMath1233.37020OpenAlexW2057295837MaRDI QIDQ639265

Zeng Lian, Lai-Sang Young

Publication date: 20 September 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-011-0100-9

zbMATH Keywords

Lyapunov exponentsHilbert spaces(non)uniformly hyperbolic diffeomorphisms

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

SRB measures for a class of partially hyperbolic attractors in Hilbert spaces, The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures, Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces, The existence of semi-horseshoes for partially hyperbolic diffeomorphisms, Bohr chaoticity of topological dynamical systems, Absolute continuity of stable foliations for mappings of Banach spaces, Formulae of volume growth for random Anosov diffeomorphisms, Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems, Observing Lyapunov exponents of infinite-dimensional dynamical systems, Fine properties of \(L^p\)-cocycles which allow abundance of simple and trivial spectrum, Estimation of topological entropy in random dynamical systems, Entropy, volume growth and SRB measures for Banach space mappings, Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces, The metric entropy of random dynamical systems in a Banach space: Ruelle inequality, Existence of periodic orbits and horseshoes for mappings in a separable Banach space, Horseshoes for Anosov systems on fibers driven by an equicontinuous system, Existence of periodic orbits and horseshoes for semiflows on a separable Banach space, The existence of semi-horseshoes for \(C^1\) partially hyperbolic attractors in a Banach space, Livšic theorem for matrix cocycles over an axiom a flow, Continuity of sub-additive topological pressure with matrix cocycles ^*, Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures, Shy shadows of infinite-dimensional partially hyperbolic invariant sets

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