To detect the vibration frequency of dynamical systems,the corresponding topology space u and space M were founded.The topology contravariant functor was used to map the unknown space u to the known space M,and the vibration frequency of the unknown space was investigated by the contravariant functor (f∶u→Ｍ).After solving the contravariant functor,we studied its stability using the Poincaré map.By this approach the vibration frequency of dynamical systems could be detected ,and the approach has strong constraint to noise immunity. The experiments showed the feasibility of the approach.
刘彬,张玉存.一种检测动力系统振动频率的新方法[J].动力学与控制学报,2005,3(3):36~40; Liu Bin, Zhang Yucun. A new approach to detect the characteristic frequency of dynamical systems[J]. Journal of Dynamics and Control,2005,3(3):36-40.
