首页 | 本学科首页   官方微博 | 高级检索  
     

共轭算子法和非线性动力系统的高阶规范形
引用本文:张伟 陈予恕. 共轭算子法和非线性动力系统的高阶规范形[J]. 应用数学和力学, 1997, 18(5): 421-432
作者姓名:张伟 陈予恕
作者单位:天津大学力学系, 天津 300072
摘    要:规范形理论是研究非线性动力系统退化分含的强有力的方法.在本文里我们利用共轭算子法计算了具有幂零线性部分和不具有Z2-对称性的非线性动力系统的2阶、3阶和4阶规范形,讨论了几种余维3退化分含情况下的普适开析问题及其一些全局特性.

关 键 词:非线性动力系统   共轭算子法   3阶和4阶规范形   余维3退化分岔   普适开折
收稿时间:1996-03-06

Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System
Zhang Wei,Chen Yushu. Adjoint operator Method and Normal Forms of Higher order for Nonlinear Dynamical System[J]. Applied Mathematics and Mechanics, 1997, 18(5): 421-432
Authors:Zhang Wei  Chen Yushu
Affiliation:Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
Abstract:Normal form theory is a very effective method in the study of degenerate bifurations of nonlinear dynamical systems. In this paper, by using ad joint operator method, normal forms of order 3 and 4 for nonlinear dynamical system withnilpotent lincar part and Z2-asymmetry are computed. According to normal formsobtained, universal unfolings for some degenerate bifurcation cases of codimension 3 and simple global characterizations are discussed.
Keywords:nonlinear dynamical system   ad joint operator method   normal formsof order 3 and 4   degenerate bifurcation of codimension 3   universalunfolding  
本文献已被 CNKI 维普 等数据库收录!
点击此处可从《应用数学和力学》浏览原始摘要信息
点击此处可从《应用数学和力学》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号