Configurations of invariant straight lines of cubic differential systems with degenerate infinit
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science, Chisinau, 2064, Moldova
2 Tiraspol State University, Chisinau, 2064, Republic of Moldova
Keywords:
differential systems
Abstract
Some properties of cubic systems with invariant straight lines are determined and are classified all the systems with the infinite line filled up with singularities (i.e. with the degenerated infinity) and having exactly five and exactly six straight lines three of which are parallel. It is proved that there are 15 affine classes of such systems with different configurations of invariant straight lines. For every class was carried out the qualitative investigation in the Poincare disc.
Cite
- ACS Style
- Şubă, A.; Vadim, R. Configurations of invariant straight lines of cubic differential systems with degenerate infinit. Bukovinian Mathematical Journal. 2018, 2
- AMA Style
- Şubă A, Vadim R. Configurations of invariant straight lines of cubic differential systems with degenerate infinit. Bukovinian Mathematical Journal. 2018; 2(2-3).
- Chicago/Turabian Style
- Alexandru Şubă, Repesco Vadim. 2018. "Configurations of invariant straight lines of cubic differential systems with degenerate infinit". Bukovinian Mathematical Journal. 2 no. 2-3.
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