The multiplicity of the invariant straight line at the infinity for the quintic system

Repeşco Vadim

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2023-03-20 15:19

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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

Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 17-18 septembrie 2021

The multiplicity of the invariant straight line at the infinity for the quintic system

Pag. 23-24

Repeşco Vadim

Tiraspol State University

Disponibil în IBN: 20 septembrie 2022

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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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