Constructing Smale Diffeomorphisms on Compact Surfaces

DOI10.2307/1998134zbMath0426.58019OpenAlexW4214532387MaRDI QIDQ3862134

Steve Batterson

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998134

zbMATH Keywords

axiom Astrong transversality conditionassociated subshiftsdiffeomorphisms on a compact surfacezero dimensional basic sets

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic behavior (37D99)

Related Items (1)

On the structure of rotation sets in hyperbolic surfaces

Cites Work

• Unnamed Item
• Structural stability of \(C^1\) diffeomorphisms
• Constructing structurally stable diffeomorphisms
• Non-singular flows on \(S^3\) with hyperbolic chain-recurrent set
• Homology theory and dynamical systems
• Classification of subshifts of finite type
• A structural stability theorem
• Differentiable dynamical systems
• Structurally stable diffeomorphisms are dense

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