The ergodic shadowing property from the robust and generic view point

DOI10.1186/1687-1847-2014-170zbMath1343.34138OpenAlexW2123932991WikidataQ59321819 ScholiaQ59321819MaRDI QIDQ738450

Manseob Lee

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-170

zbMATH Keywords

shadowingAnosovgenericlocally maximalergodic shadowing

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Generic properties, structural stability of dynamical systems (37C20)

Related Items (8)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ On shadowing system generated by a uniformly convergent mappings sequence ⋮ Symplectic diffeomorphisms with limit shadowing ⋮ Nonlinear Nonhomogeneous Elliptic Problems ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Asymptotic orbital shadowing property for diffeomorphisms

Cites Work

• Unnamed Item
• Homoclinic classes with shadowing
• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• Periodic orbits and expansiveness
• On shadowing: ordinary and ergodic
• A proof of the \(C^ 1\) stability conjecture
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property
• The ergodic shadowing property and homoclinic classes
• Pseudo-orbit shadowing in the \(C^1\) topology
• Usual limit shadowable homoclinic classes of generic diffeomorphisms
• GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS
• Diffeomorphisms satisfying the specification property
• Expansive homoclinic classes
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A

This page was built for publication: The ergodic shadowing property from the robust and generic view point