Shadowing property of non-invertible maps with hyperbolic measures

DOI10.3836/TJM/1270041619zbMath0942.37008OpenAlexW1981981502MaRDI QIDQ1304938

Yong Moo Chung

Publication date: 28 May 2000

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270041619

zbMATH Keywords

horseshoetopological entropyshadowinghyperbolic measure

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (12)

The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures ⋮ Horseshoes for diffeomorphisms preserving hyperbolic measures ⋮ Katok closing lemma for non-singular endomorphisms ⋮ Lyapunov exponents and hyperbolic periodic orbits for endomorphisms ⋮ Rigidity for some cases of Anosov endomorphisms of torus ⋮ Dimension approximation in smooth dynamical systems ⋮ Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems ⋮ Repellers for non-uniformly expanding maps with singular or critical points ⋮ BIRKHOFF SPECTRA FOR ONE-DIMENSIONAL MAPS WITH SOME HYPERBOLICITY ⋮ Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure ⋮ Continuity of sub-additive topological pressure with matrix cocycles ^* ⋮ Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures

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