Center conditions for a cubic system with two invariant straight lines and one invariant cubic

dc.contributor.author	COZMA, Dumitru
dc.contributor.author	DASCALESCU, Anatoli
dc.date.accessioned	2020-11-02T15:34:10Z
dc.date.available	2020-11-02T15:34:10Z
dc.date.issued	2018
dc.identifier.citation	COZMA, Dumitru, DASCALESCU, Anatoli. Center conditions for a cubic system with two invariant straight lines and one invariant cubic. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 36-37.	en_US
dc.identifier.uri	http://repository.utm.md/handle/5014/11000
dc.description	Only Abstract	en_US
dc.description.abstract	In this paper we study the problem of the center for cubic system having three algebraic solutions l1 = 0, l2 = 0, Φ = 0 in generic position and prove the following theorem: Theorem 1. Let the cubic system have two invariant straight lines l1 = 0, l2 = 0 and one irreducible invariant cubic Φ = 0. Then a fine focus O(0, 0) is a center if and only if the first three Lyapunov quantities vanish.	en_US
dc.language.iso	en	en_US
dc.publisher	Bons Offices	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	cubic system	en_US
dc.subject	differential systems	en_US
dc.title	Center conditions for a cubic system with two invariant straight lines and one invariant cubic	en_US
dc.type	Article	en_US