On hyperbolic measures and periodic orbits

DOI10.3934/DCDS.2006.16.505zbMath1108.37023OpenAlexW2047318483MaRDI QIDQ862118

Ilie Ugarcovici

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.505

zbMATH Keywords

invariant measureshyperbolic periodic pointsnonuniformly hyperbolic dynamical systems

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Hyperbolic measures for certain dynamics on \(\mathbb{T}^4 \) ⋮ Uniform hyperbolic approximations of measures with non-zero Lyapunov exponents

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