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 SM ISO690:2012BOULARAS, Driss, MATEI, Angela. The GL(2, R)−orbits of the homogeneous polynomial differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, nr. 3(58), pp. 44-56. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(58) / 2008 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 44-56 | ||||||
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In this work, we study the generic homogeneous polynomial differential system x˙ 1 = Pk(x1, x2), x˙ 2 = Qk(x1, x2) under the action of the center-affine group of transformations of the phase space, GL(2, R). We show that if the dimension of the
GL(2, R)− orbits of this system is smaller than four, then deg(GCD(Pk, Qk)) ≥ k−1. |
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| Cuvinte-cheie Group action, group orbits, dimension of orbits. |
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