C¹-Stably Positively Expansive Maps

• Autorzy: Kazuhiro Sakai
• Języki publikacji: EN

Abstrakty

EN

The notion of C¹-stably positively expansive differentiable maps on closed $C^∞$ manifolds is introduced, and it is proved that a differentiable map f is C¹-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the ε-time dependent stability is shown. As a result, every expanding map is ε-time dependent stable.

Kategorie tematyczne

• 37D20: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
• 37C75: Stability theory
• 37C50: Approximate trajectories (pseudotrajectories, shadowing, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 2
• Strony: 197-209

Daty

wydano

2004

Twórcy

autor

Kazuhiro Sakai

• Department of Mathematics, Utsunomiya University, Utsunomiya 321-8505, Japan

Identyfikatory

DOI

10.4064/ba52-2-10