Chaotic beats in a nonautonomous system governing second-harmonic generation of light

The letter proposes a procedure for generation and control chaotic beats in a dynamical system being initially in the periodic state. The dynamical system describes a simple nonlinear optical process -- second-harmonic generation of light. The periodic states of the system have been found in analytical forms. We also investigate some aspects of synchronization of chaotic beats in two systems, detuned in the pump fields.