C¹-maps having hyperbolic periodic points

• Autorzy: N. Aoki , Kazumine Moriyasu , N. Sumi
• Języki publikacji: EN

Abstrakty

EN

We show that the C¹-interior of the set of maps satisfying the following conditions:
(i) periodic points are hyperbolic,
(ii) singular points belonging to the nonwandering set are sinks,
coincides with the set of Axiom A maps having the no cycle property.

Kategorie tematyczne

• 37D20: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
• 37C20: Generic properties, structural stability
• 34D30: Structural stability and analogous concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 169
• Numer: 1
• Strony: 1-49

Daty

wydano

2001

Twórcy

autor

N. Aoki

• Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-Shi, Tokyo 192-0397, Japan
• Faculty of Commerce, Chuo University, Hachioji-shi, Tokyo 192-0393, Japan

autor

Kazumine Moriyasu

• Department of Mathematics, Tokushima University, Minamijosanjima 1-1, Tokushima 770-8502, Japan

autor

N. Sumi

• Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-Shi, Tokyo 192-0397, Japan

Identyfikatory

DOI

10.4064/fm169-1-1