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Title

Weak centers and local critical periods for a Z2-equivariant cubic system
Authors

Ting Chen
Organization: School of Mathematics and Computing Science, Guilin University of Electronic Technology
Wentao Huang
Organization: Department of Mathematics, Hezhou University
Dacheng Ren
Organization: School of Mathematics and Computing Science, Guilin University of Electronic Technology
Journal / Anthology

Nonlinear Dynamics
Year: 2014
Volume: 78
Page range: 23192329
Description

In this paper, we consider the weak center conditions and local critical periods for a Z2-equivariant cubic system with eleven center conditions at the bi-center. Using the computer algebra system Mathematica, we compute the period constants and obtain the order of the weak center for every center condition separately. Finally, the number of local critical periods bifurcating from the bi-center is given by symbolic computation and numerical computation.
Subject

*Applied Mathematics