PSEUDO ORBIT TRACING PROPERTY IN DYNAMICAL SYSTEMS

• 발행기관: 호서대학교 중앙도서관
• 저자명: 이경복(Kyung Bok Lee)
• 간행물 정보: 『호서대학교 논문집』제4권, 19~22쪽, 전체 4쪽
• 주제분류: 사회과학 > 무역학
• 파일형태: PDF
• 발행일자: 1996.12.30

영문 초록

1.Introduction In this paper, we look for hyperbolic sets for arbitrary smooth maps. And also, we study a shadowing lemma for such maps. Our motivation comes from infinite dimensional dynamical systems. The notions of hyperbolic structures and shadowing property for the diffeomorphisms case were developed by Smale and Palmer. The notion of a hyperbolic set below and the shadowing result are designed for a generalization of this proof to maps which arise in infinite dimensional systems.