A characteristic frequency of chaotic dynamical system

Abstract A simple algorithm for determination of characteristic frequency at which the chaotic system may be synchronized by external force is proposed. This frequency can be defined without application of the synchronizing force to the investigated system, but merely from the time series at its output. The knowledge of synchronization region helps in easy quantification of chaotic motion. The characteristic frequency depends on the parameters of the dynamical system. Hence, its value can be used for the purposes of monitoring and diagnostics.