QUARTIC DIFFERENTIAL SYSTEMS WITH A NON-DEGENERATE MONODROMIC CRITICAL POINT AND MULTIPLE LINE AT INFINITY
Date
2023
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Abstract
The quartic differential systems with a non-degenerate monodromic critical point and non-degenerate infinity are considered. We showthat in this family the maximal multiplicity of the line at infinity is seven. Modulo the affine transformation and time rescaling the classes of systems with the line of infinity of multiplicity two, three, . . . , seven are determined. In the cases when the quartic systems have the line at infinity of maximal multiplicity the problem of the center is solved.
Description
ȘUBA, Alexandru și Olga VACARAŞ. Quartic differential systems with a non-degenerate monodromic critical point and multiple line at infinity. In: Acta et commentationes. Ştiinţe Exacte și ale Naturii, 2023, nr. 2(16), pp. 25-34. ISSN 2537-628. ISSN 2537-6284.
Keywords
quartic differential system, multiple invariant line, monodromic critical point, sistem diferential cuartic, dreaptă invariantă multiplă, punct critic monodromic
Citation
ȘUBA, Alexandru și Olga VACARAŞ. Quartic differential systems with a non-degenerate monodromic critical point and multiple line at infinity. In: Acta et commentationes. Ştiinţe Exacte și ale Naturii, 2023, nr. 2(16), pp. 25-34. ISSN 2537-628. ISSN 2537-6284.