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Preprints of the Keldysh Institute of Applied Mathematics, 2001, 009 (Mi ipmp1061)  

The center-focus problem and the variational equations

V. P. Varin
Abstract: We consider an approach to the classical center-focus problem. For the wide class of systems with analytical right hand sides, the necessary and sufficient conditions of the existence of the center are given, which are expressed through the variational equations of higher order. The effectiveness of the suggested method is demonstrated on some examples.
Document Type: Preprint
Language: Russian
Citation: V. P. Varin, “The center-focus problem and the variational equations”, Keldysh Institute preprints, 2001, 009
Citation in format AMSBIB
\Bibitem{Var01}
\by V.~P.~Varin
\paper The center-focus problem and the variational equations
\jour Keldysh Institute preprints
\yr 2001
\papernumber 009
\mathnet{http://mi.mathnet.ru/ipmp1061}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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