Volume-Preserving Diffeomorphisms with Various Limit Shadowing

DOI10.1142/S0218127415500182zbMath1309.37028OpenAlexW2065936099MaRDI QIDQ5246686

Manseob Lee

Publication date: 22 April 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415500182

zbMATH Keywords

shadowingweak limit shadowingAnosovlimit shadowings-limit shadowing

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems, The barycenter property for robust and generic diffeomorphisms, Symplectic diffeomorphisms with limit shadowing, Unnamed Item, Various shadowing properties for time varying maps, Asymptotic orbital shadowing property for diffeomorphisms

Cites Work

• Periodic orbits and expansiveness
• Stability theorems and hyperbolicity in dynamical systems
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• Shadowing in dynamical systems
• Sets of dynamical systems with various limit shadowing properties
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
• Limit shadowing property
• Recurrence and genericity