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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