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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, номер 2, страницы 81–98
(Mi basm314)
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Эта публикация цитируется в 9 научных статьях (всего в 9 статьях)
Cubic systems with seven invariant straight lines of configuration $(3,3,1)$
Alexandru Şubăa, Vadim Repeşcob, Vitalie Puţunticăb a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
b Tiraspol State University, Chişinău, Moldova
Аннотация:
We classify all cubic differential systems with exactly seven invariant straight lines (taking into account their parallel multiplicity) which form a configuration of type $(3,3,1)$. We prove that there are six different topological classes of such systems. For every class we carried out the qualitative investigation on the Poincaré disc. Some properties of cubic systems with invariant straight lines are given.
Ключевые слова и фразы:
cubic differential system, invariant straight line, phase portrait.
Поступила в редакцию: 10.10.2012
Образец цитирования:
Alexandru Şubă, Vadim Repeşco, Vitalie Puţuntică, “Cubic systems with seven invariant straight lines of configuration $(3,3,1)$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2, 81–98
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm314 https://www.mathnet.ru/rus/basm/y2012/i2/p81
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