Weakly shadowable vector fields on non-oriented surfaces

DOI10.1080/14689367.2021.2016631zbMath1501.37024OpenAlexW4200185292MaRDI QIDQ5071679

Huasong Xiao

Publication date: 22 April 2022

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2021.2016631

zbMATH Keywords

vector fields\(\Omega\)-stableweak shadowingnon-oriented surface

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Stability theory for smooth dynamical systems (37C75) Flows on surfaces (37E35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oriented shadowing property and \(\Omega\)-stability for vector fields
• Lipschitz shadowing and structural stability of flows
• Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms
• Stability theorems and hyperbolicity in dynamical systems
• Another proof for \(C^1\) stability conjecture for flows
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• The hybrid renormalization
• Shadowing in dynamical systems
• Variational shadowing
• Vector fields with the oriented shadowing property
• Diffeomorphisms with weak shadowing
• Weak shadowing property for flows on oriented surfaces
• Extended f-orbits are approximated by orbits
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms