  In this paper we present an analytical study on the synchronization dynamics
observed in unidirectionally-coupled quasiperiodically-forced systems that
exhibit Strange Non-chaotic Attractors (SNA) in their dynamics. The SNA
dynamics observed in the uncoupled system is studied analytically through phase
portraits and poincare maps. A difference system is obtained by coupling the
state equations of similar piecewise linear regions of the drive and response
systems. The mechanism of synchronization of the coupled system is realized
through the bifurcation of the eigenvalues in one of the piecewise linear
regions of the difference system. The analytical solutions obtained for the
normalized state equations in each piecewise linear region of the difference
system has been used to explain the synchronization dynamics though phase
portraits and timeseries analysis. The stability of the synchronized state is
confirmed through the Master Stability Function. An explicit analytical
solution explaining the synchronization of SNAs is reported in the literature
for the first time.
