First-passage behavior of under-damped asymmetric bistable system driven by Levy noise

摘要

In this paper, the first-passage behavior of under-damped asymmetric bistable system driven by Levy noise is studied. The two aspects considered are the mean first-passage time (MFPT) and the distribution of first-passage time in two opposite directions. To begin with, using the Janicki-Weron algorithm to generate Levy noise, the system driven by Levy noise is simulated through the fourth-order Runge-Kutta algorithm. Then the first-passage time of 2 x 10(4) response tracks is calculated, and the MFPT and the distribution of first-passage time are obtained. Finally, the influence of Levy noise and system parameters on MFPT and the distribution of first-passage time are analyzed. Moreover, the noise enhanced stability (NES) effect is found.