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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 81–98
(Mi basm314)
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This article is cited in 9 scientific papers (total in 9 papers)
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
Abstract:
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.
Keywords and phrases:
cubic differential system, invariant straight line, phase portrait.
Received: 10.10.2012
Citation:
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
Linking options:
https://www.mathnet.ru/eng/basm314 https://www.mathnet.ru/eng/basm/y2012/i2/p81
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Abstract page: | 254 | Full-text PDF : | 60 | References: | 36 | First page: | 1 |
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