摘要
C_L方法可以揭示非线性振动系统的分岔特性 ,它结合对称性和奇异性理论并将Liapunov_Schmidt(简称LS)约化方法推广到非自治系统· 作为应用实例 。
The C_L method was generalized from Liapunov_Schmidt reduction method, combined with theory of singularities, for study of non_autonomous dynamical systems to obtain the typical bifurcating response curves in the system parameter spaces. This method has been used, as an example, to analyze the engineering nonlinear dynamical problems by obtaining the bifurcation programs and response curves which are useful in developing techniques of control to subharmonic instability of large rotating machinery.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第2期127-134,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 (重大 19990 510 )
国家重点基础研究专项经费资助!项目(G19980 10 316)