The boundary of generalized synchronization in complex dynamic systems

The character of a boundary of the domain of generalized synchronization (GS) regime has been studied for a system of three chaotic oscillators, two which are unidirectionally coupled with the third. It is established that the position of the GS boundary on the plane of coupling parameters is determined by the detuning of frequencies of the interacting chaotic oscillators. The character of this arrangement is explained in the framework of the modified system approach.