Synchronization of two chaotic oscillators via a negative feedback mechanism

The phenomenon of ideal synchronization of a pair of identical dynamical systems coupled by a one-to-one negative feedback mechanism is described and explained. The theoretical analysis supported by numerical simulations, which is presented in this paper, confirms the properties of chaotic synchronization (in the case of full coupling) that have been observed earlier. Additionally, this analysis develops a description of the problem under consideration for partial coupling between analyzed dynamical systems. Two classical Lorenz systems and Duffing oscillators coupled by a one-to-one negative feedback mechanism are considered as numerical examples.