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| 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. |
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| 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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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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<meta name="citation_title" content="Quadratic systems with limit cycles of normal size"> <meta name="citation_author" content="Cherkas Leonid"> <meta name="citation_author" content="Artes Joan"> <meta name="citation_author" content="Llibre Jaume"> <meta name="citation_publication_date" content="2003/02/04"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="41"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" content="31"> <meta name="citation_lastpage" content="46"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Quadratic%20systems%20with%20limit%20cycles%20of%20normal%20size.pdf">
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