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.