Rotating Unstable Langevin-Type Dynamics and Nonlinear Effects

Abstract

In this work we propose how to characterize nonlinear rotating unstable systems with a Langevin-type dynamics in the presence of a constant external force, through the Passage Time Distribution (PTD). Although the rotating Langevin-type equation is proposed in two dynamical representations x and y, being y the transformed space of coordinates by means of a time-dependent rotation matrix, the study is basically given in the space of coordinates y.A laser system in the presence of an external injected signal is considered as a prototype system, which admits a description in terms of two variables.