Investigation on the properties of sine-Wiener noise and its induced escape in the particular limit case D → ∞

Sine-Wiener noise is increasingly adopted in realistic stochastic modeling for its bounded nature. However, many features of the SW are still unexplored. In this paper, firstly, properties and integral process explored as parameter $D$ tends to infinite. It found that although distribution quite different from Gaussian white noise, shows similarities with Wiener process. Inspired by process, which uses diffusion coefficient denote intensity a quantity put forward characterize noise's intensity. Then we apply one-dimensional double-well potential system Maier-Stein investigate escape behaviors. A more interesting result observed mean first exit time also follows well-known Arrhenius law case quasi-potential location distributions very close results noise.