System of Controlled Moving Objects with an Attracting Cycle Mode

A set $$\Xi $$ of conservative systems that allow oscillations of the given period is considered. The problem of aggregating the set $$\Xi $$ into a coupled system with an attractive (in a large) cycle, in which the phase control law in the $$\Xi $$ systems is realized, is solved. An approach is developed in which a Van der Pol oscillator with an adjustable frequency is used as a control signal generator, acting through one-way control links on the systems of the $$\Xi $$ set: in the aggregated system, there are no direct links between the $$\Xi $$ systems. The control system is described by autonomous equations.