Extensions of expansive dynamical systems
نویسندگان
چکیده
We characterize and describe the extensions of expansive Ano- sov homeomorphisms on compact spaces. As an application we obtain a stability result for Anosov systems, show construction that embeds any system inside having shadowing property pseudo orbits original space.
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Positively expansive dynamical systems
We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological generalizations of the well-known metric notion of positive expansiveness (PE). We prove that the three notions are identical on compact metrizable spaces, but not on noncompact spaces. We investigate properties of PE, wPE, and sPE dynamical systems a...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2021
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2020399