C1-maps having hyperbolic periodic points

DOI10.4064/fm169-1-1zbMath1031.37021OpenAlexW2058310200MaRDI QIDQ2717759

Kazumine Moriyasu, Nobuo Aoki, Naoya Sumi

Publication date: 17 June 2001

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm169-1-1

zbMATH Keywords

structural stabilityhyperbolic periodic point\(C^{1}\)-mapAxiom~A-mapno cycle property

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (8)

Some Recent Results on the Stability of Endomorphisms ⋮ Lectures on structural stability in dynamics ⋮ POSITIVELY WEAK MEASURE EXPANSIVE DIFFERENTIABLE MAPS ⋮ Structural stability of the inverse limit of endomorphisms ⋮ Positively measure-expansive differentiable maps ⋮ On the inverse limit stability of endomorphisms ⋮ Structurally stable perturbations of polynomials in the Riemann sphere ⋮ Attracting sets on surfaces

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