Further reduction of nilpotent three-dimensional vector fields' normal form using first integral - 文章详情页

作者：

Li, Jing (Li, Jing.) (学者：李静) | Yuan, Xing (Yuan, Xing.) | Zhang, Li-Na (Zhang, Li-Na.)

收录：

EI Scopus PKU CSCD

摘要：

To　research　hypernormal　form　(simplest　normal　form,　unique　normal　form)　of　nilpotent　three-dimensional　vector　field,　the　authors　obtained　the　first　normal　form　of　this　system　using　normal　form　theory　of　ordinary　differential　equation　and　dynamical　systems,　and　applying　new　grading　function　and　the　first　integral　of　the　linear　part.　With　further　reduction　the　second　order　normal　form　was　got　under　the　condition　that　the　coefficient　of　second-degree　term　was　not　equal　to　zero,　and　its　uniqueness　was　proved.

关键词：

Ordinary differential equations Dynamical systems Grading Integral equations

作者机构：

[ 1 ] [Li, Jing]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
[ 2 ] [Yuan, Xing]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
[ 3 ] [Zhang, Li-Na]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

通讯作者信息：

电子邮件地址：

leejing@bjut.edu.cn

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