C1-STABLE INVERSE SHADOWING CHAIN COMPONENTS FOR GENERIC DIFFEOMORPHISMS

DOI10.4134/CKMS.2009.24.1.127zbMath1168.37304MaRDI QIDQ3394404

Manseob Lee

Publication date: 30 August 2009

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

zbMATH Keywords

residualhyperbolichomoclinic classaxiom Agenericchain recurrentchain component\(C^1\)-stable inverse shadowing

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Stably average shadowable homoclinic classes ⋮ Unnamed Item ⋮ Stably inverse shadowable transitive sets and dominated splitting ⋮ Lyapunov stable homoclinic classes for smooth vector fields ⋮ CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C¹ VECTOR FIELDS

This page was built for publication: C¹-STABLE INVERSE SHADOWING CHAIN COMPONENTS FOR GENERIC DIFFEOMORPHISMS