Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
Authors: Silvia Turuta
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Abstract
In this article, we study the planar cubic differential systems with a monodromic non-degenerate critical point and three affine invariant straight lines of total multiplicity four. We classify these systems and prove that monodromic point is of the center type if and only if the first Lyapunov quantity vanishes.Institute of Mathematics and Computer Science
“Vladimir Andrunachievici”
Chisinau, Republic of Moldova
E-mail:
“Vladimir Andrunachievici”
Chisinau, Republic of Moldova
E-mail:
Fulltext
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Contents
- Commutator subgroup of Sylow 2-subgroups of alternating group and the commutator width in the wreath product
- On two stability types for a multicriteria integer linear programming problem
- Closure operators in modules and their characterizations
- On the number of topologies on countable skew fields
- New Algorithms for Finding the Limiting and Differential Matrices in Markov Chains
- Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
- On self-adjoint and invertible linear relations generated by integral equations
- Loops with invariant flexibility under the isostrophy
