A note on approximation properties of the Oseledets splitting

DOI10.1090/S0002-9939-2014-12093-4zbMath1331.37031OpenAlexW2092269249MaRDI QIDQ3190386

Gang Liao, Chao Liang, Wen Xiang Sun

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12093-4

zbMATH Keywords

approximationinvariant measureOseledets splittinghyperbolic periodic orbit

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems with hyperbolic orbits and sets (37D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ Lyapunov exponents and hyperbolic periodic orbits for endomorphisms ⋮ A Numerical Scheme for Computing Stable and Unstable Manifolds in Nonautonomous Flows ⋮ Periodic approximation of Oseledets subspaces for semi-invertible cocycles

Cites Work

• Entropy and ergodic probability for differentiable dynamical systems and their bundle extensions
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• On the approximation of Lyapunov exponents and a question suggested by Anatole Katok
• Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
• Approximation properties on invariant measure and Oseledec splitting in non-uniformly hyperbolic systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on approximation properties of the Oseledets splitting