Decomposability of linearized systems of differential equations (Q791734)
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scientific article; zbMATH DE number 3851538
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposability of linearized systems of differential equations |
scientific article; zbMATH DE number 3851538 |
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Decomposability of linearized systems of differential equations (English)
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1983
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We prove the possibility of a periodic diagonalization for the differential system \({\dot \phi}=a(\phi)\), \(\dot x=A(\phi)x\), where \(\phi =(\phi_ 1,...,\phi_ m)\), \(x=(x_ 1,...,x_ n)\), a and A being periodical, with 2\(\pi\) period in \(\phi_ 1,...,\phi_ m\) and of \(C^ r\) class, \(r\geq 1\).
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Lyapunov transformation
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periodic diagonalization
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