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SM ISO690:2012 REPEŞCO, Vadim. Classification of cubic systems with invariant straight lines along one direction of total multiplicity at least seven. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 138-141. ISBN 978-9975-68-378-4. |
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Proceedings IMCS-55 2019 | ||||||
Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 28 septembrie - 1 octombrie 2019 | ||||||
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Pag. 138-141 | ||||||
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Rezumat | ||||||
The Darboux integrability of a polynomial differential system depends on the multiplicities of its invariant curves. We show that there are 34 canonical forms of cubic systems which have real or complex invariant straight lines of total multiplicity seven along one direction including the straight line at the infinity. |
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Cuvinte-cheie invariant straight lines, canonical forms |
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