Weak bi-center and critical period bifurcations of a Z2-Equivariant quintic system
Abstract
With the help of computer algebra system-Mathematica, this paper considers the weak center problem and local critical periods for bi-center of a Z2-Equivariant quintic system with eight parameters. The order of weak bi-center is identified and the exact maximum number of bifurcation of critical periods generated from the bi-center is given via the combination of symbolic calculation and numerical analysis.
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