The dynamic loading leads to instability and failure of rock slope. Especially

the role of force increase mutation has a great influence on slope stability. The rock mechanical properties are analyzed under static and dynamic loadings. And then

the nonlinear equation of rock slope is established. The dynamic deformation model of rock slope and the nonlinear dynamic response are studied. The amplitude of the sliding body suddenly increase

resulting in the sudden jump up and continue to increasing with the increase of the force

when the disturbance frequency to a certain extent. Conversely

the amplitude of the landslide suddenly reduces

resulting in the sudden decreases when the perturbation amplitude reduces to a certain extent. Tiny changes in initial conditions can cause a huge difference of the system response. The movement of the entire system can be regarded as an independent superposition of the two sports when the amplitude(A) is very small. As the amplitude(A) increases to more than its amplitude between the three singular points of the nonlinear system interval

the system can oscillate back and forth between these singular points. With the amplitude(A) increasing

the system changes from the period-doubling motion to mix sports. The results can provide guidance for the dynamic stability of the rock slope.