Bifurcation of critical periods of a quartic system

For the polynomial system $\dot x = ix + x \bar x ( a x^2 + b x \bar x + c \bar x^2)$ the study of critical period bifurcations is performed. Using calculations with algorithms of computational commutative algebra it is shown that at most two critical periods can bifurcate from any nonlinear cente...

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Bibliographic Details
Main Authors: Wentao Huang, Vladimir Basov, Maoan Han, Valery Romanovski
Format: Article
Language:English
Published: University of Szeged 2018-09-01
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=6429