Markov Neighborhoods for Zero-Dimensional Basic Sets

DOI10.2307/1999546zbMath0528.58023OpenAlexW4239710110MaRDI QIDQ3308744

Dennis Pixton

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999546

zbMATH Keywords

Morse-Smale diffeomorphismsaxiom AMarkov partitionstable and unstable manifoldKupka-Smale theoremsemi-invariant lamination

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75) Differential topological aspects of diffeomorphisms (57R50)

Related Items (2)

Stable intersections of conformal Cantor sets ⋮ Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays

Cites Work

• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Structural stability of diffeomorphisms on two-manifolds
• Classification of expanding attractors: an example
• Structural stability of \(C^1\) diffeomorphisms
• Homology for zero-dimensional nonwandering sets
• Homology theory and dynamical systems
• Neighborhoods of hyperbolic sets
• A structural stability theorem
• An extension of Tietze's theorem
• A Quasi-Anosov Diffeomorphism That is Not Anosov
• Differential Topology
• Differentiable dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Invariant manifolds
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