On some extensions of dynamical homeomorphism and dynamical isomorphism in dynamical system (Q1586181)

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scientific article; zbMATH DE number 1530482
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On some extensions of dynamical homeomorphism and dynamical isomorphism in dynamical system
scientific article; zbMATH DE number 1530482

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    On some extensions of dynamical homeomorphism and dynamical isomorphism in dynamical system (English)
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    14 November 2000
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    Summary: Definitions and theorems concerning the invariant sets, \(w\)- and \(\alpha\)-limit sets are given and proved in the new dynamical systems. By using the definition of \(P^+\)- and \(P^-\)-stability, some remarkable, as yet unknown, results are obtained. Finally, the definitions of dynamical isomorphism and dynamical homeomorphism are given and related original theorems are presented and proved.
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    \(P^+\)-stability
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    \(P^-\)-stability
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    invariant sets
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