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![]() REPEŞCO, Vadim. The multiplicity of the invariant straight line at the infinity for the quintic system. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, pp. 23-24. |
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Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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Pag. 23-24 | ||||||
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Rezumat | ||||||
Consider the real polynomial di erential system of degree n, i.e. a differential system. According to [1], if the system (1) has suciently many invariant straight lines considered with their multiplicities, then we can obtain a Darboux rst integral for it. There are di erent types of multiplicities of these invariant straight lines, for example: parallel multiplicity, geometric multiplicity, algebraic multiplicity, etc [2]. In this work we will use the notion of algebraic multiplicity of an invariant straight line. |
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