Qualitative analysis of polynomial differential systems with the line at infinity of maximal multiplicity: exploring linear, quadratic, cubic, quartic, and quintic cases

This article investigates the phase portraits of polynomial differential systems with maximal multiplicity at the line at infinity. The study explores theoretical foundations, including algebraic multiplicity definitions, to establish the groundwork for qualitative analyses of dynamical systems. Sp...

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Autore principale:	Vadim Repeșco
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	"Ion Creanga" State Pedagogical University 2024-01-01
Serie:	Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Soggetti:	polynomial differential system phase portrait infinity multiplicity of an invariant algebraic curve Poincaré transformation
Accesso online:	https://revistaust.upsc.md/index.php/acta_exacte/article/view/965
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