On Some Reversible Cubic Systems
On Some Reversible Cubic Systems
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DOI：
10.3390/math9121446
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发表时间：
2021-06
期刊：
影响因子：
2.4
通讯作者：
Barbara Arcet;V. Romanovski
中科院分区：
文献类型：
--
作者：
Barbara Arcet;V. Romanovski
本文从1994年Dodosia Schmiddek给出的三次可逆系统的分类出发，研究了三个系统。利用仿射变换和消除算法从这三个家庭的六个组成部分的中心品种的衍生和极限环分支在附近的组件进行了调查。讨论了该系统关于巴斯托斯，Buzzi和Torregrosa在2021年引入的广义对合的不变性.使用计算机代数系统Mathematica和Singular进行计算。
We study three systems from the classification of cubic reversible systems given by Żoła̧dek in 1994. Using affine transformations and elimination algorithms from these three families the six components of the center variety are derived and limit-cycle bifurcations in neighborhoods of the components are investigated. The invariance of the systems with respect to the generalized involutions introduced by Bastos, Buzzi and Torregrosa in 2021 is discussed. Computations are performed using the computer algebra systems Mathematica and Singular.