Characterisations of Ω-stability and structural stability via inverse shadowing

DOI10.1017/S0004972700035632zbMath1102.37015MaRDI QIDQ3410754

Yong Zhang, Keon-Hee Lee, Tae-Young Choi

Publication date: 16 November 2006

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

zbMATH Keywords

orbital inverse shadowingweak inverse shadowingstructurally stable diffeomorphisms\(\Omega\)-stable diffeomorphisms

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Volume-preserving diffeomorphisms with inverse shadowing ⋮ Hamiltonian systems with orbital, orbital inverse shadowing ⋮ Stably inverse shadowable transitive sets and dominated splitting ⋮ Diffeomorphisms with \(\mathcal L^{p}\)-shadowing property ⋮ On inverse shadowing

Cites Work

• Contributions to the stability conjecture
• Inverse shadowing by continuous methods
• Approximate and real trajectories for generic dynamical systems
• Orbital and weak shadowing properties
• Varios shadowing properties and their equivalence
• Vector fields with topological stability
• Diffeomorphisms with weak shadowing
• The topological stability of diffeomorphisms
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• BISHADOWING AND HYPERBOLICITY
• Diffeomorphisms with persistency

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