( 3 ) we investigate the nonlinear dynamics of the rotor - ambs system in 1 / 3 and 1 / 2 subharmonic resonances . using the multiple method of scale , the averaged equations of the rotor - ambs system are obtained ( 3 )利用多尺度方法,研究了电磁轴承-转子系统的1 3亚谐共振和1 2亚谐共振情况下的非线性动力学,得出了两种共振情况下的频幅响应方程。
( 3 ) we investigate the nonlinear dynamics of the inverted pendulum system in 1 / 1 internal resonance and 1 / 2 sub harmonic resonance . using the multiple method of scale , the averaged equations of the inverted pendulum system are obtained ( 3 )应用多尺度方法研究了倒立摆系统在内共振和1 / 3亚谐共振情况下的非线性动力学响应,得出系统的平均方程,得到了系统的频率响应方程,对周期解和局部分叉进行了分析。
In chapter two , theories and methods of scale economy , scope economy , the cost precipitates , network hustle are used to analyze systematically technical and economic characteristics of power industry , especially nature monopolization and commonality goods characteristics that directly influence electric market structure 第二章运用规模经济、范围经济、成本沉淀性、网络拥挤性等理论方法系统地分析了电力产业的技术经济特征,尤其是直接影响电力市场结构的自然垄断性和公共物品性。
The multiple method of scale is used to obtain the averaged equations in primary parameter resonance . from the averaged equations , the theory of normal form is applied to find the explicit formulas of normal form associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the maple program 利用多尺度方法得出了主参数共振情况下的平均方程,利用normalform理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化,得到了平均系统的normalform 。