一类三自由度强非线性系统的动力学分析  

Dynamical Analysis of A Class of Three Degrees of Freedom Strongly Nonlinear Dynamical System

作　　者：张宇功 常胜[1] 范学良[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《宁夏大学学报（自然科学版）》2014年第2期104-108,112,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：甘肃省国际科技合作计划项目(1104WCGA195);甘肃省自然科学基金资助项目(1208RJZA111)

摘　　要：根据中心流形理论对一类三自由度强非线性动力系统降维,研究其稳定性及分岔特性,并用Matlab模拟出其分岔图及Lyapunov指数图,从而研究此系统中不同参数对系统稳定性及分岔的影响,为永磁同步电机动力系统参数设计提供参考.A class of three degrees of freedom strongly nonlinear dynamical system is simplified by the center manifold theory, its stability and bifurcation characters are discussed. The bifurcation diagram and Lyapunov exponent graphs are simulated by Matlab. The impact of stability and bifurcation of system is studied based on different parameters, which plays a reference role for the design and production of permanent magnet synchronous motor.

关 键 词：中心流形 稳定性 分岔 数值仿真 

分 类 号：O193[理学—数学]