论文标题

$ Z_2 $ Equivariant Quintic System的双中心和关键时期分叉

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

论文作者

Wu, Yusen

论文摘要

在计算机代数系统 - \ textsc {Mathematica}的帮助下,本文考虑了$ z_2 $ equivariant Quintic系统的弱中心问题和本地关键时期,带有八个参数。鉴定出弱的双中心级的顺序,并通过符号计算和数值分析的组合给出了从双中心产生的关键周期的确切最大分叉数。

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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