The Lyapunov exponents of \(C^{1}\) hyperbolic systems
From MaRDI portal
Publication:625763
DOI10.1007/S11425-010-3117-5zbMath1225.37039OpenAlexW1979764567MaRDI QIDQ625763
Publication date: 25 February 2011
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-010-3117-5
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (2)
Deviation property of periodic measures in \(C^1\) non-uniformly hyperbolic systems with limit domination ⋮ On the density of Birkhoff sums for Anosov diffeomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \(C^{1+\alpha}\) hypothesis in Pesin theory
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Integral expressions of Lyapunov exponents for autonomous ordinary differential systems
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Partial hyperbolicity, Lyapunov exponents and stable ergodicity
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- A generalized shadowing lemma
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting
- Pathological foliations and removable zero exponents
- A generalization of a theorem of Liao
- Horseshoe and entropy for C1 surface diffeomorphisms
- Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
- Approximation properties on invariant measure and Oseledec splitting in non-uniformly hyperbolic systems
- Genericity of zero Lyapunov exponents
This page was built for publication: The Lyapunov exponents of \(C^{1}\) hyperbolic systems
