Escape Rate in the Bistable Sawtooth System Driven by Correlated Multiplicative and Additive White Noises

We study the escape problem of a bistable sawtooth system
driven by correlated multiplicative and additive white noises. Exact analytic representation of the relative escape rate is obtained. Some novel phenomena are found from the calculation result;“suppression platform”appears in the relative escape rate when the noise correlation coefficient λ is positive. Moreover, for small positive values of λ, the relative escape rate exhibits “suppression platform” and then “resonant activation” with the increasing noise strength ratio R.