The stochastic process of transitions between limit cycles for a special class of self-oscillators under random perturbations

A plenary investigation of the stochastic transitions between neighborhoods of limit cycles in a randomly perturbed special class of oscillatory circuits is presented. The very possibility of the realization of self-oscillators with a given set of several limit cycles .was established in the recent works of the authors. On this ground, a simple analysis of the associated diffusion process and its properties are given.