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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, номер 3, страницы 38–56
(Mi basm428)
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Research articles
Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five
Alexandru Şubăa, Vadim Repeşcob a Institute of Mathematics and Computer Science A.S.M., Chişinău, Republic of Moldova
b State University of Tiraspol, Chişinău, Republic of Moldova
Аннотация:
In this paper cubic systems which have degenerate infinity and invariant straight lines of total multiplicity five are classified. It is proved that, modulo affine transformations and time rescaling, there are 24 classes of such systems. For every class the qualitative investigation was carried out in the Poincaré disc.
Ключевые слова и фразы:
cubic differential system, invariant straight line, phase portrait.
Поступила в редакцию: 27.05.2016
Образец цитирования:
Alexandru Şubă, Vadim Repeşco, “Cubic systems with degenerate infinity and invariant straight lines of total parallel multiplicity five”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 3, 38–56
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm428 https://www.mathnet.ru/rus/basm/y2016/i3/p38
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