Chaos and self-organization of oscillations in the system of coupled oscillators with a nonlinear delayed feedback

A system of coupled chaotic oscillators with a nonlinear delayed feedback is considered. The equations of motion of the coupled system with a nonlinear delayed feedback in the coupling elements are presented. A coupled system consisting of two partial oscillator (subsystems) is analyzed numerically at various values of delay in the nonlinear coupling elements. The self-organization mode of coupled chaotic oscillations, which is mapped by the limit cycle, is shown to be possible. The oscillations of the system can be controlled by the periodic variation of delay time in the nonlinear coupling element or in the feedback circuit of a coupled subsystem.