The stability theorems for discrete dynamical systems on two-dimensional manifolds

DOI10.1017/S0027763000020328zbMath0515.58022OpenAlexW1502518076MaRDI QIDQ5902607

Atsuro Sannami

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020328

zbMATH Keywords

non-wandering setaxiom Ahyperbolic periodic pointsstrong transversality condition

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

The set of axiom A diffeomorphisms with no cycles ⋮ A global perspective for non-conservative dynamics ⋮ Another proof for \(C^1\) stability conjecture for flows

Cites Work

• Structural stability of \(C^1\) diffeomorphisms
• Neighborhoods of hyperbolic sets
• A structural stability theorem
• Differentiable dynamical systems

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