Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities

Autor: Cristina Bujac, Dana Schlomiuk, Nicolae Vulpe

Publikováno v: Electronic Journal of Differential Equations, Vol 2021, Iss 83,, Pp 1-110 (2021)

Externí odkaz: https://doaj.org/article/f9d7458f689b41e7a3d0fc976144095d

Classification of cubic differential systems with invariant straight lines of total multiplicity eight and two distinct infinite singularities

Autor: Cristina Bujac, Nicolae Vulpe

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 74, Pp 1-38 (2015)

In this article we prove a classification theorem (Main theorem) of real planar cubic vector fields which possess two distinct infinite singularities (real or complex) and eight invariant straight lines, including the line at infinity and including t

Externí odkaz: https://doaj.org/article/3b53c7bb35ca45709b8c54131d35d2a5

First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines

Autor: Cristina Bujac, Jaume Llibre, Nicolae Vulpe

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

In the article Llibre and Vulpe (Rocky Mt J Math 38:1301–1373, 2006) the family of cubic polynomial differential systems possessing invariant straight lines of total multiplicity 9 was considered and 23 such classes of systems were detected. We rec

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6118729190d082a89a51cda706daa27
http://hdl.handle.net/2072/413466

Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities

Autor: Nicolae Vulpe, Cristina Bujac

Publikováno v: Journal of Mathematical Analysis and Applications. 423:1025-1080

In this article we prove a classification theorem (Main Theorem) of real planar cubic vector fields which possess four distinct infinite singularities and eight invariant straight lines, including the line at infinity and including their multipliciti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::083f859b087bda1cc49307b13cd361b5
https://doi.org/10.1016/j.jmaa.2014.10.014