ASYMPTOTIC AVERAGE SHADOWING PROPERTY ON A CLOSED SET

• 발행기관: 충청수학회
• 저자명: Manseob Lee Junmi Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 1, 27~33쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.02.28

영문 초록

Let f be a difeomorphism of a closed n -dimensional smooth manifold M; and p be a hyperbolic periodic point of f: Let ¤(p) be a closed set which containing p: In this paper, we show that(i) if f has the asymptotic average shadowing property on ¤(p); then¤(p) is the chain component which contains p: (ii) suppose f has the asymptotic average shadowing property on ¤(p): Then if fj¤(p) has the C1-stably shadowing property then it is hyperbolic.

목차

1. Introduction

2. Proof of Theorem 1.2