Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type (2,2,2)
Authors: Bujac Cristina, Vulpe Nicolae
Keywords: quadratic differential system, invariant line, singularity, configuration of invariant lines, group action, polynomial invariant
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Keywords: quadratic differential system, invariant line, singularity, configuration of invariant lines, group action, polynomial invariant
Abstract
We denote by $\textbf{CSL}_7$ the family of cubic differential systems possessing invariant straight lines, finite and infinite, of total multiplicity exactly seven. In a sequence of papers the study of the subfamily of cubic systems belonging to $\textbf{CSL}_7$ with 4 real distinct singular points at infinity was reached. The goal of this article is to continue the study of the geometric configurations of invariant lines of $\textbf{CSL}_7$ with two real and two complex distinct infinite singularities and invariant lines in the configuration of the type $(2,2,2)$. We proved that there exists only one configuration of invariant straight lines belonging to the class mentioned above. In addition, we construct invariant affine criteria for the realization of the obtained configuration.Institute of Mathematics and Computer Science,
Moldova State University, Chusinau, R. Moldova
E-mail: ,
Moldova State University, Chusinau, R. Moldova
E-mail: ,
DOI
https://doi.org/10.56415/basm.y2024.i1-2.p84Fulltext
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Contents
- Professor Boris Șcerbacov - 100th anniversary
- Metrically piecewise continuous p-almost periodic functions and applications
- Poisson Stable Solutions of Semi-Linear Differential Equations
- Asymptotic behaviour of non-autonomous Caputo fractional differential equations with a one-sided dissipative vector field
- The comparability of motions in dynamical systems and recurrent solutions of (S)PDEs
- The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type (2,2,2)
- On the attractors of weakly hyperbolic IFS's with condensation
- An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
- Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
- Remembering Professor B. A. Shcherbakov (1924-2017)
