摘要
运用中心流形定理和范式理论,本文推导出了一种计算n维动力系统Hopf分叉范式系数的简捷方法.这种方法还可用来求解多自由度非线性振动问题.用它求解比以往的各种近似方法简单、方便、易于掌握.现已将这种方法程序化,它可在IBM PC/XT,AT及其兼容机上使用.
A simple method of calculating the coefficients of Normal Form for Hopf bifurcation is reduced by the Centre Manifold Theorem and the Normal Form Theory. This Method can also be used to solve nonlinear vibration problems of multi-degree-freedom. It is more easy to learn and to use than any other approximate methods. The FORTRAN program has been made for this method, which can be used on an IBM PC/XT, AT as well as other compatible computers.
出处
《振动工程学报》
EI
CSCD
1991年第4期11-17,共7页
Journal of Vibration Engineering
基金
国家自然科学基金
博士点基金
关键词
非线性振动
中心流形
中心流形
Centre Manifold, Normal Form for Hopf bifurcation, nonlinear vibration
