SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS

DOI10.4134/BKMS.2012.49.2.263zbMath1247.37022OpenAlexW2032489915MaRDI QIDQ2880466

Xiao Wen, Keon-Hee Lee

Publication date: 13 April 2012

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=409343

zbMATH Keywords

hyperbolicshadowinggenericchain-transitive

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (9)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ Positively expansive differentiable maps ⋮ Local topological stability for diffeomorphisms ⋮ Hyperbolicity and types of shadowing for \(C^1\) generic vector fields ⋮ Usual limit shadowable homoclinic classes of generic diffeomorphisms ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms ⋮ Expansive transitive sets for robust and generic diffeomorphisms ⋮ Asymptotic orbital shadowing property for diffeomorphisms ⋮ Average Shadowing Property With Non Uniformly Hyperbolicity on Periodic Points

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