The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three
Vol 18 No 2 (2024), Статьи
Vol 18 No 2 (2024)

The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three

Статьи
https://doi.org/10.36120/2587-3644.v18i2.18-37
Published January 10, 2025
Alexandru Șubă
``Vladimir Andrunachievici'' Institute of Mathematics and Computer Sciences, Moldova State University, 5 Academiei St., Chișinău, Republic of Moldova; ``Ion Creangă'' State Pedagogical University, 1 Ion Creangă St., Chișinău, Republic of Moldova

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Keywords

cubic differential system
multiple invariant line
the problem of the center

How to Cite

Șubă, A. (2025). The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three. Acta Et Commentationes Exact and Natural Sciences, 18(2), 18-37. https://doi.org/10.36120/2587-3644.v18i2.18-37
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Abstract

In this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish.

 

https://doi.org/10.36120/2587-3644.v18i2.18-37
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