Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance (Q450993)
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scientific article; zbMATH DE number 6086922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance |
scientific article; zbMATH DE number 6086922 |
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Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance (English)
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26 September 2012
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linearizability
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polynomial system
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resonant saddle
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The author studies the problem of linearizability for the polynomial system NEWLINE\[NEWLINE \dot x=x+P_4(x,y), \quad \dot y= -2y+Q_4 (x,y), NEWLINE\]NEWLINE where \(P_4\) and \(Q_4\) are homogeneous polynomials of degree four. Necessary and sufficient conditions for the linearizability of the system are obtained. The main tool for proving linearizability is the Darboux method.
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