  In this paper, we report a novel approach for studying the effect of optimal
uncoupling on the stability of synchronization in coupled chaotic systems. The
clipping of phase space of the driven system having an orientation along the
coordinate axes revealing the nature of coupling of the state variables of
coupled systems is identified in certain coupled third-order chaotic systems.
The stability of synchronization is studied through the {\emph{Master Stability
Function}} (MSF). The optimal directions of implementing the clipping width to
achieve stable synchronization is observed by studying the effectiveness of
clipping fraction and the sufficient range of orientation to identify the
optimal directions is reported. The functional work steps for identifying the
optimal directions are presented and the synchronization of the response system
with the drive within the clipped region of phase space for different
orientations of clipping width are studied. The stability of synchronization
for different orientations of clipping widths and the two-parameter bifurcation
diagram indicating the negative valued MSF regions obtained for the optimal
direction of clipping width are presented. The application of the method of
optimal uncoupling in identifying the direction of implication of clipping
width is discussed and the range of orientation over which the clipping width
has to be varied is generalized.
