Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\) (Q1101599)

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scientific article; zbMATH DE number 4046168
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Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
scientific article; zbMATH DE number 4046168

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    Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\) (English)
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    1987
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    A detailed qualitative analysis is performed for planar systems \(v'=Av+f(v)Bv\) with \(JB+(JB)\) t and B \(tJA+(B\) tJA) t definite of same sign, f homogeneous \((J=\left( \begin{matrix} 0\\ 1\end{matrix} \begin{matrix} -1\\ 0\end{matrix} \right))\). Resuls of \textit{C. Chicone} [preprint, University of Missouri (1984)] are extended.
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    planar systems
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