《非线性Mathieu方程亚谐共振分叉理论》的一些推广  

Some Extended Results of "Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation

作　　者：陈予恕[1] 詹凯君 

机构地区：[1]天津大学

出　　处：《应用数学和力学》1990年第3期239-245,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助

摘　　要：在文[1]中,作者讨论了非线性Mathieu方程的亚谐共振分叉理论,得到的主要结果是,在参数α-β平面上,具有六种不同拓扑结构的分叉图.本文摧广了这一结果,指出:如果选取不同的芽来计算同样的分叉问题,则可以有十四种不同拓扑结构的分叉图.The authors of [1] discussed the subharmonic resonance bifurcation theory of nonlinear Mathieu equation and obtained six bifurcation diagrams in (a, β)-plane. In this paper, we extended the results of [ 1 ] and pointed out that there may exist as many as fourteen bifurcation diagrams which are not topologically equivalent to each other.

关 键 词：马休方程 非线性 亚谐共振 分叉 

分 类 号：O322[理学—一般力学与力学基础]