Lipschitz inverse shadowing for non-singular flows
نویسندگان
چکیده
منابع مشابه
Continuous and Inverse Shadowing for Flows
We define continuous and inverse shadowing for flows and prove some properties. In particular, we will prove that an expansive flow without fixed points on a compact metric space which is a shadowing is also a continuous shadowing and hence an inverse shadowing (on a compact manifold without boundary).
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We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.
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We show that if a distribution is locally spanned by Lipschitz vector fields and is involutive a.e., then it is uniquely integrable giving rise to a Lipschitz foliation with leaves of class C1,Lip. As a consequence, we show that every codimension-one Anosov flow on a compact manifold of dimension > 3 such that the sum of its strong distributions is Lipschitz, admits a global cross section. The ...
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We give characterizations of linear dynamical systems via various inverse shadowing properties.
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ژورنال
عنوان ژورنال: Dynamical Systems
سال: 2013
ISSN: 1468-9367,1468-9375
DOI: 10.1080/14689367.2013.842958