<p>Based on the theory of chaotic modulation, the influence of the control parameters of impingement jets on the stability of the system has been studied. The range of the simulation control parameters is determined through trial calculation. The influence of the main control parameters of the nonlinear system on the stability of pressure and pressure gradient trajectories has been studied numerically. The fluctuation curves of the damping force, recovery force, and kinetic energy and potential energy have been further studied. The results show that the main control parameters affect the waveform of the self-excited oscillation and the energy conversion of the impingement jet system. When the control parameters take specific values, the nonlinear system bifurcates and a regular periodic solution can be obtained. The results suggest the values of the control parameters that form a clear synergistic effect, which facilitates the conversion utilization of self-excited oscillation energy, and in which a stable oscillation can be formed.</p>