Abstract
This paper describes how to synchronize self-excited systems without coupling. The authors propose a method that enables us to produce a stable and precise synchronization of self-excited systems simply by adding noise. To achieve this, destruction of Hopf bifurcations of random invariant measures is investigated by means of a random van der Poloscillator and a random nonlinear retarded ocsillator. The destruction results in the exact synchronization between the random self-excited systems. A quasi-periodic systems is also synchronized by the proposed method.
