Blow-up method for linearizability of resonant differential systems (Q6537734)
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scientific article; zbMATH DE number 7847386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up method for linearizability of resonant differential systems |
scientific article; zbMATH DE number 7847386 |
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Blow-up method for linearizability of resonant differential systems (English)
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14 May 2024
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The paper provides necessary and sufficient conditions for the existence of a linearizable \(1:-3\) resonant center with quadratic nonlinear terms, and improves the result of \textit{V. G. Romanovski} and \textit{M. Prešern} [J. Comput. Appl. Math. 236, No. 2, 196--208 (2011; Zbl 1225.13029)]. The tools utilized are well illustrated in the section of preliminaries. They are about blow-up transformations such as \((x,y)\mapsto (x/y,y)\) and the scheme to detect the Darboux linearization method. All calculations greatly rely on several software packages.
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linearizability problem
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linearizability quantities
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blow-up transformation
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Darboux linearization theory
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\(p:-q\) resonant system
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