Quasi-shadowing property on random partially hyperbolic sets

DOI10.1007/S10114-018-7314-4zbMath1397.37026OpenAlexW2803549691MaRDI QIDQ1788713

Xin Sheng Wang, Yu Jun Zhu, Lin Wang

Publication date: 8 October 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-7314-4

zbMATH Keywords

local product structurequasi-shadowing propertyrandom partially hyperbolic set

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• Hyperbolic periodic points for chain hyperbolic homoclinic classes
• Partial hyperbolicity and central shadowing
• Shadowing in random dynamical systems
• Shadowing in dynamical systems
• Smooth ergodic theory of random dynamical systems
• Center specification property and entropy for partially hyperbolic diffeomorphisms
• Anosov diffeomorphisms are topologically stable
• Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics
• Pseudo-orbit tracing property for random diffeomorphisms
• Quasi-shadowing for partially hyperbolic diffeomorphisms
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Compact dynamical foliations
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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