Gröbner Basis of the Ideal of Focus Quantities of the Kukles Cubic System

For the Kukles cubic system, the first eleven focus quantities are found for the first time. A test for belonging to the ideal is performed for these quantities—each of them is divisible without remainder by an arbitrary polynomial of the Gröbner basis of the ideal of these focus quantities.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2022, Vol.58 (1), p.142-145
1. Verfasser:	Sadovskii, A. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Differential equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Polynomials Short Communications
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For the Kukles cubic system, the first eleven focus quantities are found for the first time. A test for belonging to the ideal is performed for these quantities—each of them is divisible without remainder by an arbitrary polynomial of the Gröbner basis of the ideal of these focus quantities.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266122010141