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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,059 - 1,079 (21page)
- DOI
- 10.4134/JKMS.j190083
이용수
초록· 키워드
오류제보하기
We show that given any chain transitive set of a $C^1$ generic diffeomorphism $f$, if a diffeomorphism $f$ has the eventual shadowing property on the locally maximal chain transitive set, then it is hyperbolic. Moreover, given any chain transitive set of a $C^1$ generic vector field $X$, if a vector field $X$ has the eventual shadowing property on the locally maximal chain transitive set, then the chain transitive set does not contain a singular point and it is hyperbolic. We apply our results to conservative systems (volume-preserving diffeomorphisms and divergence-free vector fields).
목차
등록된 정보가 없습니다.
참고문헌 (32)
참고문헌 신청
Flavio Abdenur / 2006 / Global dominated splittings and the C1 New-house phenomenon / Proceedings of the American Mathematical Society 134(8):2229~2237
Flavio Abdenur / 2007 / Pseudo-orbit shadowing in the C1 topology / Discrete & Continuous Dynamical Systems - A 17(2):223~245
Nobuo Aoki / 1992 / The set of axiom A diffeomorphisms with no cycles / Boletim da Sociedade Brasileira de Matemática 23(1-2):21~65
Alexander Arbieto / 2011 / Periodic orbits and expansiveness / Mathematische Zeitschrift 269(3-4):801~807
Alexander Arbieto / 2012 / The specification property for flows from the robust and generic viewpoint / Journal of Differential Equations 253(6):1893~1909
Flavio Abdenur / 2007 / Pseudo-orbit shadowing in the C1 topology / Discrete & Continuous Dynamical Systems - A 17(2):223~245
Nobuo Aoki / 1992 / The set of axiom A diffeomorphisms with no cycles / Boletim da Sociedade Brasileira de Matemática 23(1-2):21~65
Alexander Arbieto / 2011 / Periodic orbits and expansiveness / Mathematische Zeitschrift 269(3-4):801~807
Alexander Arbieto / 2012 / The specification property for flows from the robust and generic viewpoint / Journal of Differential Equations 253(6):1893~1909
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