Real cubic differential systems with a linear center and multiple line at infinity
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Keywords

cubic differential system, multiple invariant line, the center problem.

How to Cite

Şubă , A. (2022). Real cubic differential systems with a linear center and multiple line at infinity. Acta Et Commentationes Exact and Natural Sciences, 12(2), 50-62. https://doi.org/10.36120/2587-3644.v12i2.50-62

Abstract

We classify all cubic differential systems with a linear center and multiple line at infinity up to multiplicity four. For every class with the multiplicity of the line at infinity four the center problem is solved. It is proved that the monodromic points are of the center type if the first three Lyapunov quantities vanish

https://doi.org/10.36120/2587-3644.v12i2.50-62
pdf (Русский)
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