Bifurcation of critical periods of a quintic system

We investigate the critical period bifurcations of the system $$ \dot x = ix + x \bar x ( a x^3 + b x^2 \bar x + \bar x \bar x^2+d \bar x^3) $$ studied in [6]. We prove that at most three critical periods can bifurcate from any nonlinear center of the system.

Bibliographic Details
Main Authors: Valery G. Romanovski, Maoan Han, Wentao Huang
Format: Article
Language:English
Published: Texas State University 2018-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/66/abstr.html