## 3 Influencing Factors of Multi-Stationary Stochastic Resonance System
When \(a<1\) and \(a>1\), \(b=5,c=0.038\), the curves of the well depth with \(R\) are shown in Figure 5.  
It can be concluded from Figure 5 that when \(a<1\), as the \(R\) increases, the depth of the wells decreases and the depth of the intermediate well increases. When \(a>1\), as \(R\) increases, three The depth of each well is decreasing continuously. When \(R<1\), the depth of the wells on both sides is greater than the depth of the intermediate well, and the energy required for the particles to transition from the intermediate well to the two wells is less than the energy required to transition from the two wells to the intermediate well. When \(R=1\), the three wells have the same depth. When \(R>1\), the depth of the intermediate well is greater than the depth of the wells on both sides, and the energy required for the particles to transition from the intermediate well to the two wells is more than the energy required for the two wells to transition to the depth of the intermediate well. Figure 4: \(R\) curve with parameter \(a\). Figure 5: Curve of \(U\) with \(R\). At the same time, as shown in Figure 4(b), when \(R=0.05\), the depth of the wells on both sides is 201.02, and the depth of the intermediate well is about 10.15. At this time, the depth of the wells on both sides on both sides is much larger than the depth of the intermediate wells, so the system is approximated to bi-stability; when \(R=1\), the three wells have the same depth and the system is multi-stable; as \(R\) increases, when \(R=19.51\), the depth of the wells on both sides is 0.0419, and the depth of the intermediate well is 0.8055. At this time, the depth of the intermediate well is much larger than the depth of the wells on both sides, and the system is approximately mono-stable. Therefore, when the system is multi-stable, that is, when \(R=[0.05,20]\), the value of \(a\) ranges from 0.05 to 10. The SR system parameters when \(a=2,\ c=0.04\), the variation curve of \(R\) with the system parameter \(b\), and the variation of the well depth with \(R\) are shown in Figure 6.  
It can be seen from Figure 5(a) that when \(a\) and \(c\) are combined with different values, as \(R\) increases, each \(R\) increases first and then decreases rapidly to a constant value; when \(b>6\), \(R\) does not change with the change of \(b\). At this time, its value is constant at 0.5, and the system remains multi-stable. Therefore, when \(b<6\), the curve of the well depth with \(R\) is plotted, as shown in Figure 5(b). When \(R=0.05\), the depth of the wells on both sides is about 9.12, and the depth of the intermediate well is about 0.4185. At this time, the depth of the wells on both sides is much larger than the depth of the intermediate well, and the system is approximately bi-stable; at this time, the energy required for the particles to transition from the two wells to the intermediate well is much larger than the energy required for the intermediate well to transition to the two wells. With the increase of \(R\), when \(R=20\), the depth of the well on both sides is 0.0502, and the depth of the intermediate well is 0.8458. At this time, the depth of the wells on both sides is much smaller than the depth of the intermediate well, and the system state is approximately mono-stable. Therefore, the system is multi-stable, that is, when \(R=[0.05,20]\), the range of \(b\) is \([1,10]\). If \(a\) given system parameter \(a=2.4,\ b=5\), the curve of \(R\) with system parameter \(c\) and the curve of the potential well with \(R\) are shown in Figure 7.  
It can be concluded from Figure 7 that \(R\) increases first and then decreases rapidly to a constant value as \(c\) increases. When \(c>0.04\), the \(R\) value is stable at a constant value of 0.5, and the system remains multi-stable.