A qualitative study of the quintic differential system with maximal multiplicity of the line at the infinity
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2023-11-16 23:41
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REPEŞCO, Vadim. A qualitative study of the quintic differential system with maximal multiplicity of the line at the infinity. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 29, 25-27 august 2022, Chişinău. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2022, Ediţia a 29, p. 71. ISBN 978-9975-81-074-6.
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Conference on Applied and Industrial Mathematics
Ediţia a 29, 2022
Conferința "Conference on Applied and Industrial Mathematics"
29, Chişinău, Moldova, 25-27 august 2022

A qualitative study of the quintic differential system with maximal multiplicity of the line at the infinity


Pag. 71-71

Repeşco Vadim
 
Tiraspol State University
 
 
Disponibil în IBN: 19 decembrie 2022


Rezumat

Consider the generic quintic differential system. In [1] it was proven that the class of differential quintic systems that have the invariant straight line at the infinity of maximal multiplicity is affine equivalent with the system  x˙ = x, a ∈ R∗, y˙ = −4y + ax5. (1) In this paper, by using several techniques, we obtain its phase portrait on the Poincar´e disk.