论文信息 - Computer evaluation of cyclicity in planar cubic system

Computer evaluation of cyclicity in planar cubic system

The paper describes an evaluation of c~clicity for a planar system of ODF, with a cubic polynomial right side. This problem is the important, as it is a suhproblem of the famous XIrI-th Hilbert problem. Estimations of cyclicity and c’onditious for a center art! calculated by direct computer alge}]ra methods for the cubic homogeneous and some extrnsirmsof thrhomogmrmuscase. In particular the 5 (complex) parametm case is investigated for the first time. For a lligllor{ter Lya~}llllov focllsclllantitiesc alculation a modular arithmetic is used, The NORT and GROEBNER packages under REDUCE-3.6 systcm wet-eapplied.

Victor F. Edneral | V. Edneral

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