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

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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


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