Diffeomorphisms with L-p-Shadowing Property

作者：Fakhari Abbas^*; Lee Keonhee; Tajbakhsh Khosro

来源：Acta Mathematica Sinica-English Series, 2011, 27(1): 19-28.

DOI：10.1007/s10114-011-0050-7

• L-p-shadowing
• C-1-interior
• structurally stable diffeomorphism

We give a characterization of structurally stable diffeomorphisms by making use of the notion of L-p-shadowing property. More precisely, we prove that the set of structurally stable diffeomorphisms coincides with the C-1-interior of the set of diffeomorphisms having L-p-shadowing property.

• 出版日期2011-1