Center conditions for a cubic differential system with one invariant straight line and one invariant conic

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Keywords

cubic system of differential equations
the center-focus problem
invariant algebraic curve
Darboux integrability
rational reversibility

How to Cite

Cozma, D. (2025). Center conditions for a cubic differential system with one invariant straight line and one invariant conic. Acta Et Commentationes Exact and Natural Sciences, 18(2), 125-137. https://doi.org/10.36120/2587-3644.v18i2.125-137

Abstract

In this work we find the center conditions for a cubic system of differential equations with a critical point of a center or a focus type having one invariant straight line and one invariant conic. The center-focus problem is studied by using the Darboux integrability and the rational reversibility methods.
https://doi.org/10.36120/2587-3644.v18i2.125-137
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