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The \(G\)-asymptotic tracking property and \(G\)-asymptotic average tracking property in the inverse limit spaces under group action - MaRDI portal

The \(G\)-asymptotic tracking property and \(G\)-asymptotic average tracking property in the inverse limit spaces under group action (Q2039195)

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scientific article; zbMATH DE number 7367222
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The \(G\)-asymptotic tracking property and \(G\)-asymptotic average tracking property in the inverse limit spaces under group action
scientific article; zbMATH DE number 7367222

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    The \(G\)-asymptotic tracking property and \(G\)-asymptotic average tracking property in the inverse limit spaces under group action (English)
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    2 July 2021
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    Summary: Firstly, we introduce the definitions of \(G\)-asymptotic tracking property, \(G\)-asymptotic average tracking property, and \(G\)-quasi-weak almost-periodic point. Secondly, we study their dynamical properties and characteristics. The results obtained improve the conclusions of asymptotic tracking property, asymptotic average tracking property, and quasi-weak almost-periodic point in the inverse limit space and provide the theoretical basis and scientific foundation for the application of tracking property in computational mathematics, biological mathematics, and computer science.
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