Globally topological equivalence of nonautonomous systems (Q2721834)
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scientific article; zbMATH DE number 1616882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Globally topological equivalence of nonautonomous systems |
scientific article; zbMATH DE number 1616882 |
Statements
11 July 2001
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nonautonomous system
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globally topological equivalence
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globally asymptotic quasi-equistability
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uniform stability
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0.8910972
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0.89003164
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0.8896502
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0.88276964
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Globally topological equivalence of nonautonomous systems (English)
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The author defines the topological equivalence of two nonautonomous ordinary differential equations \(x'=f_i(t,x)\), \(i=1,2\), in the way that he requires a conjugacy which is 'uniform in time' at the constant solutions. He shows that this notion is an equivalence relation and he gives some sufficient conditions for the existence of a topological equivalence between two systems.
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