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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 2, Pages 111–130
(Mi basm230)
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This article is cited in 12 scientific papers (total in 12 papers)
Research articles
The cubic differential system with six real invariant straight lines along three directions
V. Puţunticăa, A. Şubăb a Department of Mathematics, Tiraspol State University, Chişinău, Moldova
b Department of Mathematics, State University of Moldova, Chişinău, Moldova
Abstract:
We classify all cubic systems possessing exactly six real invariant straight lines along three directions taking into account their degree of invariance. We prove that there are 6 affine different classes of such systems. For every class we carried out the qualitative investigation in the Poincaré disc.
Keywords and phrases:
cubic differential system, invariant line.
Received: 05.02.2009
Citation:
V. Puţuntică, A. Şubă, “The cubic differential system with six real invariant straight lines along three directions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2, 111–130
Linking options:
https://www.mathnet.ru/eng/basm230 https://www.mathnet.ru/eng/basm/y2009/i2/p111
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