  In this paper, we study the applicability of an early warning index while
studying the transitions to complete and generalized synchronizations in the
coupled oscillator models using an unconventional system parameter and the
coupling strength as the required control parameters. The coupled oscillator
models are widely used and well-documented for studying various aspects of
nature. However, the early warning index used in this paper is an explicit
function of the mutual information of the coupled oscillators and reaches two
different values before the interacting oscillators yield complete and
generalized synchronizations. The transitions to synchrony using the
unconventional control parameter are associated with a transition to periodic
dynamics of the individual oscillators from their initial chaotic dynamics.
Besides, when we use the coupling strength as a control parameter, the
interacting oscillator exhibits chaotic dynamics during the synchronizations.
Our analysis mainly involves different examples of two low-dimensional
oscillators. Finally, we extend our study to a network of interacting
oscillators. The applicability of the early detection index is verified in all
cases.

Adaptation and Self-Organizing Systems;Chaotic Dynamics;Classical Physics