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

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.

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Publication Details

Journal
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Published
2024-12-01
DOI
https://doi.org/10.36120/2587-3644.v18i2.125-137
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
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article

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

Dumitru Cozma
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Advanced Differential Equations and Dynamical Systems
article

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

Dumitru Cozma
article en

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.

Acta et commentationes Ştiinţe Exacte şi ale NaturiiVol. 18(2)
Openalex Percentile: Top 61%
Advanced Differential Equations and Dynamical Systems
DOIOpen Access PDFOpenAlex
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Center conditions for a cubic differential system with one invariant straight line and one invariant conic — Dumitru Cozma · Acta et commentationes Ştiinţe Exacte şi ale Naturii (2024) | TGRS Research Map | TGRS