The quasideterministic approach in the dynamical characterization of rotating unstable systems

In this work, we report a new theoretical scheme to deal with the dynamical characterization of rotating unstable systems driven by both internal noise and constant external force. We use the quasideterministic (QD) approach and the passage time (PT) distribution to characterize the dynamical relaxation of systems of two and three variables and show that, in this new scheme, the validity regime of QD approach is satisfied only if the intensity of external force is smaller than or of the same order as the internal noise. For the systems of three variables, a special mathematical approach is given for a better understanding of underlying physics. Numerical simulation results are given to support our proposal.