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

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

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 integrals and phase portraits were constructed. He...

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Bibliographic Details
Main Authors: Cristina Bujac, Nicolae Vulpe
Format: Article
Language:English
Published: University of Szeged 2017-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
quadratic vector fields
infinite and finite singularities
affine invariant polynomials
poincaré compactification
configuration of singularities
geometric equivalence relation
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5916

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