Combined two stabilities imply Axiom A for vector fields

DOI10.1017/S0004972700015410zbMath0785.58029WikidataQ114655078 ScholiaQ114655078MaRDI QIDQ3142044

Lan Wen

Publication date: 9 December 1993

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

zbMATH Keywords

structural stabilityAxiom Atopological stabilityvector fields

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Vector fields with topological stability

Cites Work

• Structural stability on two-dimensional manifolds
• A proof of the \(C^ 1\) stability conjecture
• Consequences of topological stability
• An ergodic closing lemma
• Structural stability of vector fields
• On semi-stability for diffeomorphisms
• Combined structural and topological stability are equivalent to Axiom A and the strong transversality condition
• Dynamical systems, filtrations and entropy
• Necessary Conditions for Stability of Diffeomorphisms

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