Darboux Integrability of a Cubic Differential System with One Invariant Straight Line and One Invariant Cubic [Articol]
Date
2024
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Abstract
We find conditions for a singular point O(0; 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic. The presence of a center at O(0; 0) is proved by method of Darboux integrability.
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Keywords
cubic differential system, invariant algebraic curve, Darboux integrability
Citation
COZMA, Dumitru and Angela MATEI. Darboux Integrability of a Cubic Differential System with One Invariant Straight Line and One Invariant Cubic. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 167-170. ISBN 978-9975-68-515-3.