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SM ISO690:2012 REPEŞCO, Vadim. A qualitative study of the quadratic differential systems with the line at infinity of maximal multiplicity. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 29. |
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Conference on Applied and Industrial Mathematics Ediţia 30, 2023 |
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Conferința "Conference on Applied and Industrial Mathematics" 30, Chişinău, Moldova, 14-17 septembrie 2023 | ||||||
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Pag. 29-29 | ||||||
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Consider a quadratic differential system featuring a singular point characterized by purely imaginary eigenvalues, signifying a center-focus singularity. The work in reference [1] establishes that the highest multiplicity of the invariant straight line at infinity for this system is three. In this exposition, we employ various methodologies to elucidate the qualitative dynamics of these systems on the Poincar´e disk. Furthermore, we intend to employ these findings to perform a comparative analysis with previously obtained similar results. |
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