| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 951 1 |
| Ultima descărcare din IBN: 2020-01-09 10:08 |
| Căutarea după subiecte similare conform CZU |
| 515+517.9 (1) |
| Mathematics (1688) |
| Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243) |
 SM ISO690:2012SCHLOMIUK, Dana, VULPE, Nicolae. The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 2(90), pp. 41-55. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(90) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 515+517.9 | ||||||
| MSC 2010: 58K45, 34C05, 34C23, 34A34. | ||||||
| Pag. 41-55 | ||||||
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In this paper we provide affine invariant necessary and sufficient conditions for a non-degenerate quadratic differential system to have an invariant conic f(x, y) = 0 and a Darboux invariant of the form f(x, y)est with , s ∈ R and s 6= 0. The family of all such systems has a total of seven topologically distinct phase portraits. For each one of these seven phase portraits we provide necessary and sufficient conditions in terms of affine invariant polynomials for a non-degenerate quadratic system in this family to possess this phase portrait. |
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| Cuvinte-cheie quadratic differential system, invariant conic, Darboux invariant, affine invariant polynomial, Group action, phase portrait |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Schlomiuk, D.I.</dc:creator> <dc:creator>Vulpe, N.I.</dc:creator> <dc:date>2019-12-27</dc:date> <dc:description xml:lang='en'><p>In this paper we provide affine invariant necessary and sufficient conditions for a non-degenerate quadratic differential system to have an invariant conic f(x, y) = 0 and a Darboux invariant of the form f(x, y)est with , s ∈ R and s 6= 0. The family of all such systems has a total of seven topologically distinct phase portraits. For each one of these seven phase portraits we provide necessary and sufficient conditions in terms of affine invariant polynomials for a non-degenerate quadratic system in this family to possess this phase portrait.</p></dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 90 (2) 41-55</dc:source> <dc:subject>quadratic differential system</dc:subject> <dc:subject>invariant conic</dc:subject> <dc:subject>Darboux invariant</dc:subject> <dc:subject>affine invariant polynomial</dc:subject> <dc:subject>Group action</dc:subject> <dc:subject>phase portrait</dc:subject> <dc:title>The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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