Complex synchronization manifold in coupled time-delayed systems

In the present paper, the complex synchronization manifold generated in coupled multiple time delay systems is demonstrated for the first time. There, the manifold is in the form of sum of multiple simple manifolds. The structure of master is identical to that of slave. The equation for driving signal is the sum of nonlinearly transformed components of delayed state variable. The specific examples will demonstrate and verify the effectiveness of the proposed model.

Research highlights
► The complex synchronization manifold in coupled multiple time delay systems is demonstrated for the first time.
► The complex synchronization manifold is in the form of sum of multiple simple manifolds.
► The equation for driving signal is the sum of nonlinearly transformed components of delayed state variable.