ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES

DOI10.4134/CKMS.c180290zbMath1426.37011OpenAlexW2972819220MaRDI QIDQ5241372

Nyamdavaa Tsegmid, Nam Jip Koo

Publication date: 30 October 2019

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHCJ&py=2019&vnc=v34n3&sp=981

zbMATH Keywords

periodic shadowingfinite average shadowinginvariant dense subset

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic shadowing and \(\Omega \)-stability
• \(\omega\)-limit sets for axiom A diffeomorphisms
• On \(C^0\) genericity of various shadowing properties
• Shadowing in dynamical systems
• Characterizations of \(\omega\)-limit sets in topologically hyperbolic systems
• On averaged tracing of periodic average pseudo orbits
• Shadowing and hyperbolicity
• On genericity of shadowing and periodic shadowing property
• Shadowing for induced maps of hyperspaces
• Periodic shadowing and standard shadowing property
• Small perturbations of chaotic dynamical systems
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Orbital shadowing, internal chain transitivity and -limit sets
• Diffeomorphisms with periodic shadowing
• An Improved Closing Lemma and a General Density Theorem
• Recurrence and genericity