Relations between Shadowing and Inverse Shadowing in Dynamical Systems
نویسندگان
چکیده
منابع مشابه
Various Inverse Shadowing in Linear Dynamical Systems
We give characterizations of linear dynamical systems via various inverse shadowing properties.
متن کاملShadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case
We introduce a new hyperbolicity condition for set-valued dynamical systems and show that this condition implies the shadowing and inverse shadowing properties.
متن کاملContinuous Inverse Shadowing and Hyperbolicity
We study the concepts of continuous shadowing and continuous inverse shadowing with respect to various classes of admissible pseudo orbits, and characterize hyperbolicity and structural stability using the notion of continuous inverse shadowing.
متن کاملWeak Inverse Shadowing and Genericity
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.
متن کاملContinuous 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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ژورنال
عنوان ژورنال: Axioms
سال: 2019
ISSN: 2075-1680
DOI: 10.3390/axioms8010011