Nonlinear dynamics and chaotic behavior of coupled systems with phase and delay control

Dynamical states and bifurcations of the coupled systems of phase-locked loop and delay-locked loop that interact through mutual cross-connections and unidirectional connection over control circuits are considered in the paper. The behavior of the examined coupled systems is described by nonlinear five-dimensional set of equations with cylindrical phase space. It is shown that the system demonstrates complex behavior including chaotic nonsynchronous regimes.