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SM ISO690:2012 SUBA, Alexandru, REPEŞCO, Vadim, PUŢUNTICĂ, Vitalie. Cubic systems with seven invariant straight lines of configuration (3, 3, 1). In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 2(69), pp. 81-98. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 81-98 | ||||||
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We classify all cubic differential systems with exactly seven invariant straight lines (taking into account their parallel multiplicity) which form a configuration of type (3, 3, 1). We prove that there are six different topological classes of such systems. For every class we carried out the qualitative investigation on the Poincar´e disc. Some properties of cubic systems with invariant straight lines are given. |
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Cuvinte-cheie Cubic differential system, invariant straight line, phase portrait. |
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