On bifurcations of a system of cubic differential equations with an integrating multiplier singular along a second-order curve

We establish necessary and sufficient conditions for existence of an integrating multiplier of a special form for systems of two cubic differential equations of the first order. We further study bifurcations of such systems with the change of parameters of their integrating multipliers.

Bibliographic Details
Main Author: Aleksandr Alekseev
Format: Article
Language:English
Published: University of Szeged 2015-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4001