First integrals and phase portraits of planar polynomial differential cubic systems with invariant straight lines of total multiplicity eight

Autor: Cristina Bujac, Nicolae Vulpe

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 85, Pp 1-35 (2017)

In the article [C. Bujac, J. Llibre, N. Vulpe, Qual. Theory Dyn. Syst. 15(2016), 327–348] for the family of cubic differential systems with the maximum number of invariant straight lines, i.e. 9 (considered with their multiplicities), the all first

Externí odkaz: https://doaj.org/article/d648c42b4123403687c43f9283a3afd2

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Autor: Joan Artés, Jaume Llibre, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 60, Pp 1-43 (2014)

In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double com

Externí odkaz: https://doaj.org/article/781137625e004f3bb67dfb67de274ce6

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

Autor: Joan Artés, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 49, Pp 1-60 (2015)

Agraïments: The third author is supported by NSERC Grant RN000355. The fourth author is partially supported NSERC Grant RN000355. In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::430541c31cbbe7280831eb202c2dde26
http://hdl.handle.net/2072/408808

Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::13743dcd6edfe8e1a28ae49552157762
https://hdl.handle.net/2072/410603

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::055efd1caec1178498cac8b82730f714
https://hdl.handle.net/2072/408808