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 SM ISO690:2012SUBA, Alexandru, COZMA, Dumitru. Algebraic limit cycles in polynomial differential systems with a weak focus. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 287-290. ISBN 978-9975-68-244-2. |
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| Conference of Mathematical Society of the Republic of Moldova 3, 2014 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 19-23 august 2014 | ||||||
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| Pag. 287-290 | ||||||
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In this paper we show that the algebraic limit cycles of a polynomial differential system of degree n; n ¸ 3 with a weak focus of order [(n ¡ 1)=2] lie on at most (n2 ¡ 3)=2 irreducible algebraic invariant curves if n is odd and on (n2 ¡ 2)=2 ones if n is even. In particular, the limit cycles of a cubic system with a weak focus of order one lie on at most three algebraic invariant curves. |
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| Cuvinte-cheie Polynomial differential system, invariant algebraic curve, Algebraic limit cycle |
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