Shadowing and inverse shadowing for \(C^1\) endomorphisms

DOI10.1007/s10114-005-0739-6zbMath1103.37016OpenAlexW1993072780MaRDI QIDQ2505382

Yu Jun Zhu, Jinlian Zhang, LianFa He

Publication date: 4 October 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0739-6

zbMATH Keywords

perturbationhyperbolic set\(C^1\) endomorphismshadowing and inverse shadowing

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Positively expansive differentiable maps ⋮ Topological quasi-stability of partially hyperbolic diffeomorphisms under random perturbations ⋮ Stable weakly shadowable volume-preserving systems are volume-hyperbolic ⋮ On robustness of orbit spaces for partially hyperbolic endomorphisms ⋮ Diffeomorphisms with \(\mathcal L^{p}\)-shadowing property

Cites Work

• Stability theorems and hyperbolicity in dynamical systems
• Inverse shadowing by continuous methods
• Shadowing in structurally stable flows
• Pseudo-orbit tracing property and limit shadowing property on a circle
• Shadowing in random dynamical systems
• Shadowing in dynamical systems
• Approximate and real trajectories for generic dynamical systems
• Invariant properties of limit shadowing
• Diffeomorphisms with pseudo orbit tracing property
• Hyperbolic homeomorphisms and bishadowing
• Limit shadowing property
• Topological entropy and the complete invariant for expansive maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Shadowing and inverse shadowing for \(C^1\) endomorphisms