Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
228 9 |
Ultima descărcare din IBN: 2023-11-06 19:11 |
Căutarea după subiecte similare conform CZU |
517.925 (42) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 REPEŞCO, Vadim. Phase portraits of some polynomial differential systems with maximal multiplicity of the line at the infinity. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2022, nr. 2(14), pp. 68-80. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v14i2.68-80 |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Acta et commentationes (Ştiinţe Exacte și ale Naturii) | ||||||
Numărul 2(14) / 2022 / ISSN 2537-6284 /ISSNe 2587-3644 | ||||||
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DOI:https://doi.org/10.36120/2587-3644.v14i2.68-80 | ||||||
CZU: 517.925 | ||||||
MSC 2010: 34C05. | ||||||
Pag. 68-80 | ||||||
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The present study delves into the investigation of phase portraits of polynomial differential systems, which are systems of differential equations of the form $\frac{dx}{dt} = P(x,y), \frac{dy}{dt} = Q(x,y)$, where $x$ and $y$ are the dependent variables and $t$ is the independent variable. The functions $P(x,y)$ and $Q(x,y)$ are polynomials in $x$ and $y$. The main objective of this research is to obtain the phase portraits of polynomial differential systems of degree $n\in \{ 3, 4, 5\}$ and having an invariant straight line at the infinity of maximal multiplicity. |
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Cuvinte-cheie phase portrait, Singular point, Poincar´e transformation, portret fazic, punct singular, transformarea Poincaré |
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