논문KCI 등재
DOMINATED SPLITTING WITH STABLY EXPANSIVE
한국수학교육학회|2011.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제4호|pp. 285-291
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In this paper, we show that if a transitive set ¤ is C1-stably expansive,then ¤ admits a dominated splitting.
Abstract
In this paper, we show that if a transitive set ¤ is C1-stably expansive,then ¤ admits a dominated splitting.
참고문헌 (8)
- N. Aoki, "Topological Theory of Dynamical Systems" (1994), North-Holland Math. Library
- C. Bonatti, "A C1-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sources", Annals of Math, 158, pp.187~222 (2003)
- C. Bonatti, "Perturbations of the derivative along periodic orbits", Ergodi. Th. & Dynm. Syst, 26, pp.1307~1337 (2006)
- K. Lee, "C1-stably weak shadowing property of chain transitive sets", ~
- K. Lee, "Hyperbolicity of C1-stably expansive homoclinic classes", Disc. & Contin. Dynam. Syst, 27, pp.1133~1145 (2010)
- R. Mane, "Expansive diffeomorphisms", Lecture Notes in Math, 468, pp.162~174 (1975), Springer-Verlag
- R. Mane, "An ergodic closing lemma", Ann. Math, 116, pp.503~540 (1982)
- D. Yang, "Stably weakly shadowing transiteve sets and dominated splitting", Proc. Amer. Math. Soc, 통권 : 139, pp.2747~2751 (2011)
관련 논문AI추천
LIMIT WEAK SHADOWABLE TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS이만섭, Gang Lu대한수학회 · 대한수학회논문집2012 · 제27권 제3호Generic diffeomorphisms with robustly transitive sets이건희, 이만섭, 이승희대한수학회 · 대한수학회논문집2013 · 제28권 제3호Positively measure expansive and expanding안지원, 이건희, 이만섭대한수학회 · 대한수학회논문집2014 · 제29권 제2호Hyperbolicity of chain transitive sets with limit shadowing이승희, Abbas Fakhari, Khosro Tajbakhsh대한수학회 · 대한수학회보2014 · 제51권 제5호SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS이건희, Xiao Wen대한수학회 · 대한수학회보2012 · 제49권 제2호Stability of weak measure expansive diffeomorphisms김소연, 안지원대한수학회 · 대한수학회지2018 · 제55권 제5호
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