TOPOLOGICAL STABILITY OF INVERSE SHADOWING SYSTEMS

• 발행기관: 충청수학회
• 저자명: Keon hee Lee Joon hee Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 13, No. 1, 53~63쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2000.06.30

영문 초록

The inverse shadowing property of a dynamical system is an inverse form of the shadowing property of the system. Recently, Kloeden and Ombach proved that if an expansive system on a compact manifold has the shadowing property then it has the inverse shadowing property. In this paper, we study topological stability of the inverse shadowing dynamical systems. In particular, we show that if an expansive system on a compact manifold has the inverse shadowing property then it is topologically stable, and so it has the shadowing property.