ON THE ERGODIC SHADOWING PROPERTY THROUGH UNIFORM LIMITS

• 영문명: ON THE ERGODIC SHADOWING PROPERTY THROUGH UNIFORM LIMITS
• 발행기관: 충청수학회
• 저자명: Namjip Koo Hyunhee Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 37, No. 2, 75~80쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2024.05.31

영문 초록

In this paper, we study some dynamics of the uniform limits of sequences in dynamical systems on a noncompact metric space. We show that if a sequence of homeomorphisms on a noncompact metric space has the uniform ergodic shadowing property, then the uniform limit also has the ergodic shadowing property. Then we apply this result to nonwandering maps.

목차

1. Introduction and preliminaries

2. Proof of Theorem 1.1

References

키워드

ergodic shadowing property shadowing property uniform limit chain recurrence nonwandering map