| 1. | The multivariable fuzzy decoupling arithmetic method of the ambs
铝电解模糊专家控制器的开发与应用 |
| 2. | These mean that the chaotic motions can occur in the rotor - ambs system with the time - varying stiffness
上述研究说明电磁轴承-转子系统可以出现混沌运动，并且混沌运动具有初值敏感性。 |
| 3. | ( 4 ) the global bifurcations and chaotic dynamics are investigated when the rotor - ambs system has the time - varying stiffness
( 4 )研究了电磁轴承-转子系统在变刚度情况下的全局分叉和混沌动力学。 |
| 4. | There are abundant and complicated dynamical behaviors in the rotor - ambs system , such as the local and global bifurcations and the chaotic dynamics
在这类系统中含有极其丰富和复杂的动力学行为，如分叉、分形和混沌动力学等。 |
| 5. | ( 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。 |
| 6. | The nonlinear electromagnetic force may cause the large oscillations of the rotor in some parameter regions . thus , the studies on the properties of the nonlinear dynamics and the stability for the rotor - ambs system play an important role in the engineering
非线性力的作用使转子在某些参数域中产生相当大的振动，因此分析该类系统的非线性振动特性和稳定性一直是电磁轴承-转子动力学研究的重要课题。 |
| 7. | Because most of the components in ambs are of the nonlinear characteristics , the dynamics in ambs is very complicated . the electromagnetic force is a nonlinear function with respect to the displacement of the rotor and the controlling electric current
主动式电磁轴承( ambs )被广泛地应用于工业和航空航天工程中，但由于电磁控制力是被控对象的位移和控制电流的非线性函数，因而构成了一个非线性机电系统。 |
| 8. | The applications and developments of the rotor - ambs system in the engineering are showed in recent years . in particularly , we present the results for the studies of nonlinear dynamics in the rotor - ambs system . we also point out the trend of the rotor - ambs system in future and the necessity of the study on the nonlinear dynamics of the rotor - ambs system
本文的研究内容和所获得的主要结果有以下几个方面： ( 1 )综述了磁悬浮研究的历史，介绍了主动式电磁轴承-转子系统在工程实际中的应用，主动式电磁轴承的研究现状，总结了近十年来国内外对电磁轴承-转子系统非线性动力学的研究进展和取得的成果，指出了电磁轴承发展的趋势及进行非线性动力学研究的必要性。 |
| 9. | Based on the normal form obtained above , a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system . the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations
利用全局摄动法研究了电磁轴承-转子系统的全局分叉和混沌动力学，利用数值模拟方法分别对平均方程和原方程进行了分析，得到了的描述系统混沌运动的相图和波形图，从而验证了理论结果的正确性。 |
