A NOTE ON CONTINUUM-WISE EXPANSIVE HOMOCLINIC CLASSES

• 발행기관: 충청수학회
• 저자명: Manseob Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 2, 141~146쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.05.31

국문 초록

For a diffeomorphism f of a compact smooth manifold M, we prove that the homoclinic class H (p, f) having the hyperbolic periodic point p is stably continuum-wise expansive if and only if H (p, f ) is hyperbolic.

목차

1. Introduction

2. Proof of Theorem A

References

키워드

expansive continuum-wise expansive local star homoclinic class hyperbolic

참고문헌

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