| Conţinutul numărului revistei |
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 SM ISO690:2012GHERŞTEGA, Natalia, ORLOV, Victor, VULPE, Nicolae. A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 2(60), pp. 29-54. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(60) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 29-54 | ||||||
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In this article we consider the action of the group Aff (2, R) of affine
transformations and time rescaling on real planar quadratic differential systems. Via affine invariant conditions we give a complete stratification of this family of systems according to the dimension D of affine orbits proving that 3 ≤ D ≤ 6. Moreover we give a complete topological classification of all the systems located on the orbits of dimension D ≤ 5 constructing the affine invariant criteria for the realization of each of 49 possible topologically distinct phase portraits |
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| Cuvinte-cheie quadratic differential system, Lie algebra of operators, affine invariant polynomial, Aff (2, R)−orbit |
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<meta name="citation_title" content="A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits"> <meta name="citation_author" content="Gherştega Natalia"> <meta name="citation_author" content="Orlov Victor"> <meta name="citation_author" content="Vulpe Nicolae"> <meta name="citation_publication_date" content="2009/08/03"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="60"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="29"> <meta name="citation_lastpage" content="54"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/A%20complete%20classification%20of%20quadratic%20differential%20systems%20according%20to%20the%20dimensions%20of%20Aff_2_R_orbits%2029_54.pdf">
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