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Inverse shadowing for expansive flows
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Abstract
We extend the notion of inverse shadowing defined fordiffeomorphisms to flows, and show that an expansive flow on acompact manifold with the shadowing property has the inverseshadowing property with respect to the classes of continuousmethods. As a corollary we obtain that a hyperbolic flow also hasthe inverse shadowing property with respect to the classes ofcontinuous methods.
관련 논문AI추천
Weak inverse shadowing and genericity김성식, 이건희, 최태영대한수학회 · 대한수학회보2006 · 제43권 제1호Various inverse shadowing in linear dynamical systems이건희, 최태영대한수학회 · 대한수학회논문집2006 · 제21권 제3호Expansive homeomorphisms with the shadowing property on zerodimensional spacesJong-Jin Park대한수학회 · 대한수학회논문집2004 · 제19권 제4호Shadowable chain components and hyperbolicity박준미, 이만섭, 이승희대한수학회 · 대한수학회보2015 · 제52권 제1호Average shadowing properties on compact metric spaces박종진, Yong Zhang대한수학회 · 대한수학회논문집2006 · 제21권 제2호Hyperbolicity of chain transitive sets with limit shadowing이승희, Abbas Fakhari, Khosro Tajbakhsh대한수학회 · 대한수학회보2014 · 제51권 제5호
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