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Extensions of expansive dynamical systems
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2020-12-16 , DOI: 10.3934/dcds.2020399
Mauricio Achigar

We characterize and describe the extensions of expansive and Ano- sov homeomorphisms on compact spaces. As an application we obtain a stability result for extensions of Anosov systems, and show a construction that embeds any expansive system inside an expansive system having the shadowing property for the pseudo orbits of the original space.

中文翻译:

扩展动力系统

我们刻画并描述了紧空间上的扩张和Anosov同胚的扩展。作为一个应用程序,我们获得了Anosov系统扩展的稳定性结果,并展示了一种结构,该结构将任何扩展系统嵌入具有原始空间伪轨道的阴影属性的扩展系统内。
更新日期:2020-12-16
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