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).
متن کاملC-stably Expansive Sets for Flows
Let X be a C1 vector field on a closed C∞ manifold M . We introduce the concept of C1 stable expansivity for compact Xt-invariant set, and use a flow-version of Mane’s results (Lemma II.3 in ”Mane, R. An ergodic closing lemma. Ann. of Math. (2) 116 (1982), no. 3, 503–540”) on uniformly hyperbolic families of periodic linear differential equations in order to get the hyperbolicity for the C1 sta...
متن کاملExpansive Homeomorphisms with the Shadowing Property on Zero Dimensional Spaces
Let X = {a}∪ {ai | i ∈ N} be a subspace of Euclidean space E such that limi→∞ ai = a and ai 6= aj for i 6= j. Then it is well known that the space X has no expansive homeomorphisms with the shadowing property. In this paper we show that the set of all expansive homeomorphisms with the shadowing property on the space Y is dense in the space H(Y ) of all homeomorphisms on Y , where Y = {a, b} ∪ {...
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.
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2003
ISSN: 1015-8634
DOI: 10.4134/bkms.2003.40.4.703