The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type $(3,1,1,1)$

Autor: Cristina Bujac, Dana Schlomiuk, Nicolae Vulpe

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 40, Pp 1-94 (2023)

In this article we consider the class $\textbf{CSL}_7^{2r2c \infty}$ of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines of total multiplicity 7, inclu

Externí odkaz: https://doaj.org/article/7d7d10fac83e4748b4a1893ea97fe913

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 three finite singularities of total multiplicity four

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

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 49, Pp 1-60 (2015)

In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: syste

Externí odkaz: https://doaj.org/article/2f556822df244efe9e5835c168dbfdbe

Geometric configurations of singularities for quadratic differential systems with total finite multiplicity $m_f=2$

Autor: Joan C. Artes, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe

Publikováno v: Electronic Journal of Differential Equations, Vol 2014, Iss 159,, Pp 1-79 (2014)

In this work we consider the problem of classifying all configurations of singularities, both finite and infinite of quadratic differential systems, with respect to the geometric equivalence relation defined in [3]. This relation is deeper than t

Externí odkaz: https://doaj.org/article/dc172f71dfdb4ce2b50e49d1865e2bd4

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