본문 바로가기
KERD
논문KCI 등재

LIMIT WEAK SHADOWABLE TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS

이만섭|Gang Lu
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회논문집 (Communications of the KMS)|제27권 제3호|pp. 613-619

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

generichyperbolicweak shadowingtransitive setlimit weak shadowing
주제분류수학

초록

In this paper, we prove that locally maximal transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit weak shadowable.

Abstract

In this paper, we prove that locally maximal transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit weak shadowable.

참고문헌 (13)

  1. F. Abdenur, "Generic robustness of spectral decompositions", Ann. Sci. ´Ecole Norm. Sup, 36(2), pp.213~224 (2003)
  2. F. Abdenur, "Pseudo-orbit shadowing in the C1 topology", Discrete Contin. Dyn. Syst, 17(2), pp.223~245 (2007)
  3. T. Eirola, "Limit shadowing property", Numer. Funct. Anal. Optim, 18(1-2), pp.75~92 (1997)
  4. K. Lee, "Hyperbolic of C1-stably expansive homoclinic classes", Discrete Contin. Dyn. Syst, 27(3), pp.1133~1145 (2010)
  5. 이건희, "SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS", 대한수학회보, 49(2), pp.263~270 (2012), 대한수학회
  6. R. Ma˜n´e, "An ergodic closing lemma", Ann. of Math, 116(3), pp.503~540 (1982)
  7. S. Pilyugin, "Shadowing in Dynamical Systems", Lecture Notes in Math, 1706 (1999), Springer
  8. S. Pilyugin, "Transversality properties and C1-open sets of diffeomorphisms with weak shadowing", Discrete Contin. Dyn. Syst, 16(4), pp.871~882 (2006)
  9. O. B. Plamenevskaya, "Weak shadowing in two-dimensional diffeomorphisms", Vestnik St. Petersburg Univ. Math, 31(3), pp.49~56 (1999)
  10. K. Sakai, "Diffeomorphisms with weak shadowing", Fund. Math, 168(1), pp.57~75 (2001)
  11. K. Sakai, "A note on weak shadowing", Far East J. Dyn. Syst, 3(1), pp.45~49 (2001)
  12. K. Sakai, "Diffeomorphisms with limit weak shadowing", Trends in Mathematics, 7, pp.19~27 (2004)
  13. D. Yang, "Stably weakly shadowing transitive sets and dominated splittings", Proc. Amer. Math. Soc, 139(8), pp.2747~2751 (2011)

관련 논문AI추천

SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS이건희, Xiao Wen대한수학회 · 대한수학회보2012 · 제49권 제2호Hyperbolicity of chain transitive sets with limit shadowing이승희, Abbas Fakhari, Khosro Tajbakhsh대한수학회 · 대한수학회보2014 · 제51권 제5호Generic diffeomorphisms with robustly transitive sets이건희, 이만섭, 이승희대한수학회 · 대한수학회논문집2013 · 제28권 제3호C^1-stable inverse shadowing chain components for generic diffeomorphismsManseob Lee대한수학회 · 대한수학회논문집2009 · 제24권 제1호Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems이만섭대한수학회 · 대한수학회지2021 · 제58권 제5호Shadowable chain components and hyperbolicity박준미, 이만섭, 이승희대한수학회 · 대한수학회보2015 · 제52권 제1호

이 간행물의 다른 논문 (22건)

N-SUBALGEBRAS OF TYPE (∈, ∈ ∨ q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS전영배, 이경자, Xiaohong Zhangpp. 431-439NOTES ON (σ, τ)-DERIVATIONS OF LIE IDEALS IN PRIME RINGSSeda Oguz, Oznur Golbasipp. 441-448CYCLOTOMIC POLYNOMIALS OVER CYCLOTOMIC FIELDS김성두, 이준복pp. 449-454ON THE RELATIVE ZETA FUNCTION IN FUNCTION FIELDSDaisuke Shiomipp. 455-464FUZZY IDEALS GENERATED BY FUZZY SUBSETS IN SEMIGROUPS전인흥pp. 465-475
원문 보기