In Figure 2(a), the overdamping coefficient is adjusted to 1.3, and the asymmetric dichotomous noise parameter is increased to a = 4.0, b = -2.0.
Accordingly, whether the damping coefficient including the underdamping and the overdamping can induce SR phenomenon in terms of the averaged power spectrum is the cure of our research in this section.
In general, when the damping coefficient is increased gradually from the underdamping to overdamping, the value of [P.sub.2] that is the highest peak increases sharply and then decreases slowly, the value of [P.sub.3] that is the second highest peak decreases all the time, and the value of [P.sub.1] that is the lowest peak decreases firstly and then increases slowly and disappears last.
Firstly, by the fourth-order Runge-Kutta numerical algorithm, it is found that the asymmetric dichotomous noise can induce the uniform asymmetry and the irregular asymmetry of the system response in the bistable system with the appropriately fixed parameters, as the damping coefficient is increased gradually from the underdamping 0.2 to the overdamping 1.4.
0 [is less than] [R.sub.0] [is less than or equal to] [R.sub.0,c] overdamping behavior
In this case, the bubble has an overdamping behavior.
In an overdamping behavior of the bubble, the minimum radius of the bubble, [R.sub.min], is equal to the equilibrium radius, [R.sub.e].
If the maximum radius of the cavitational bubble before the collapse phase is smaller than the critical radius, [R.sub.0,c], the bubble collapses with an overdamping form.
The bubble behavior changes from damping oscillation to overdamping when the initial radius of the bubble is smaller than the critical radius of the bubble.