논문KCI 등재
SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS
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초록
We prove that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is shadowable.
Abstract
We prove that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is shadowable.
참고문헌 (11)
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- M. Sambarino, "Robustly expansive homoclinic classes are generically hyperbolic", Discrete Con- tin. Dyn. Syst, 24(4), pp.1325~1333 (2009)
- X. Wen, "C1-stably shadowable chain components are hyperbolic", J. Differential Equations, 246(1), pp.340~357 (2009)
- D. Yang, "Expansive homoclinic classes", Nonlinearity, 22(4), pp.729~733 (2009)
관련 논문AI추천
LIMIT WEAK SHADOWABLE TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS이만섭, Gang Lu대한수학회 · 대한수학회논문집2012 · 제27권 제3호Hyperbolicity of chain transitive sets with limit shadowing이승희, Abbas Fakhari, Khosro Tajbakhsh대한수학회 · 대한수학회보2014 · 제51권 제5호Shadowable chain components and hyperbolicity박준미, 이만섭, 이승희대한수학회 · 대한수학회보2015 · 제52권 제1호Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems이만섭대한수학회 · 대한수학회지2021 · 제58권 제5호C^1-stable inverse shadowing chain components for generic diffeomorphismsManseob Lee대한수학회 · 대한수학회논문집2009 · 제24권 제1호Generic diffeomorphisms with robustly transitive sets이건희, 이만섭, 이승희대한수학회 · 대한수학회논문집2013 · 제28권 제3호
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