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arXiv · 2009.08042

Weak bi-center and critical period bifurcations of a $Z_2$-Equivariant quintic system

Yusen Wu
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Abstract

With the help of computer algebra system-\textsc{Mathematica}, this paper considers the weak center problem and local critical periods for bi-center of a $Z_2$-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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Yusen Wu. 2020-09-17. Weak bi-center and critical period bifurcations of a $Z_2$-Equivariant quintic system. https://doi.org/10.1142/s0218127421501170

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