Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrases：Figreffig3 illustrates that after long-term evolution the surviv

The results depicted in Figure 3 demonstrate that the prolonged evolution of the system is associated with a comparatively low survival probability. Specifically, the survival probability of the system exposed to red noise is superior to that of the system exposed to white noise, indicating that the autocorrelation of colored noise exerts an influence on the decoherence of the kick rotor model. Additionally, the positive autocorrelation effectuates the preservation of system coherence. The coupling probability of blue noise is intertwined with white noise due to the short-range autocorrelation. The survival probability of blue noise is primarily influenced by statistical properties rather than autocorrelation.