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 two distinct invariant straight lines. The presence of a center at O(0,0) is proved by using the method of Darboux integrability and the rational reversibility.
Submitted December 1, 2011. Published January 27, 2013.
Math Subject Classifications: 34C05.
Key Words: Cubic differential systems; center problem; invariant straight lines; Darboux integrability; rational reversibility.
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| Dumitru Cozma |
Tiraspol State University
5 Gh. Iablocichin str.
Chisinau, MD-2069, Moldova
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