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| Articolul precedent |
| Articolul urmator |
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 990 14 |
| Ultima descărcare din IBN: 2020-07-01 09:25 |
 SM ISO690:2012CHERKAS, Leonid, ARTES, Joan, LLIBRE, Jaume. Quadratic systems with limit cycles of normal size. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 1(41), pp. 31-46. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(41) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 31-46 | ||||||
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| Rezumat | ||||||
In the class of planar autonomous quadratic polynomial differential sys-
tems we provide 6 different phase portraits having exactly 3 limit cycles surrounding a
focus, 5 of them have a unique focus. We also provide 2 different phase portraits hav-
ing exactly 3 limit cycles surrounding one focus and 1 limit cycle surrounding another
focus. The existence of the exact given number of limit cycles is proved using the Du-
lac function. All limit cycles of the given systems can be detected through numerical
methods; i.e. the limit cycles have “a normal size” using Perko’s terminology. |
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| Cuvinte-cheie quadratic systems, limit cycles. |
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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>Cherkas, L.A.</dc:creator> <dc:creator>Artes, J.C.</dc:creator> <dc:creator>Llibre, J.</dc:creator> <dc:date>2003-02-04</dc:date> <dc:description xml:lang='en'>In the class of planar autonomous quadratic polynomial differential sys- tems we provide 6 different phase portraits having exactly 3 limit cycles surrounding a focus, 5 of them have a unique focus. We also provide 2 different phase portraits hav- ing exactly 3 limit cycles surrounding one focus and 1 limit cycle surrounding another focus. The existence of the exact given number of limit cycles is proved using the Du- lac function. All limit cycles of the given systems can be detected through numerical methods; i.e. the limit cycles have “a normal size” using Perko’s terminology.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 41 (1) 31-46</dc:source> <dc:subject>quadratic systems</dc:subject> <dc:subject>limit cycles.</dc:subject> <dc:title>Quadratic systems with limit cycles of normal size</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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