Non-uniformly hyperbolic flows and shadowing

DOI10.1016/J.JDE.2016.03.001zbMath1353.37048OpenAlexW2301945205MaRDI QIDQ272238

Edson Vargas, Xue Ting Tian, Wen Xiang Sun

Publication date: 20 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.03.001

zbMATH Keywords

flowshadowingdominated splittinghyperbolic measureLiao-Pesin setOseledec splitting

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (4)

Katok closing lemma for non-singular endomorphisms ⋮ Ergodic optimization for hyperbolic flows and Lorenz attractors ⋮ Topological features of flows with the reparametrized gluing orbit property ⋮ The weak Smale horseshoe and mean hyperbolicity

Cites Work

• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Shadowing in dynamical systems
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Topological Entropy of Fixed-Point Free Flows
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Periodic Orbits for Hyperbolic Flows
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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