  The loss of synchronizability at large coupling strength is of major concern
especially in the fields of secure communication and complex systems. Because
theoretically, the coupling mode that can surely stabilize the
chaotic/hyperchaotic synchronized state is vector coupling (using all the
coordinates) which is in contrast to the practical demand of information
exchange using lesser number of coordinates (commonly via a single coordinate).
In the present work, we propose that if the node dynamics are given by a pair
of oscillators (say, {\it two oscillatory system} TOS) rather than by a
conventional way of single oscillator (say, {\it single oscillatory system}
SOS), then the information exchange via a single coordinate could be sufficient
to stabilize the chaotic/hyperchaotic synchronization manifold at large
coupling strength. The frameworks of drive-response system and Master Stability
Function (MSF) have been used to study the TOS effect by varying TOS parameters
with and without feedback (feedback means quorum sensing conditions). The TOS
effect has been found numerically both in the chaotic (R{\"o}ssler, Chua and
Lorenz) and hyperchaotic (electrical circuit) systems. However, since threshold
also increases as a side effect of TOS, the extent of $\beta$ enhancement
depends on the choice of oscillator model like larger for R{\"o}ssler,
intermediate for Chua and smaller for Lorenz.
