In this paper we present an analytical study on the synchronization dynamicsobserved in unidirectionally-coupled quasiperiodically-forced systems thatexhibit Strange Non-chaotic Attractors (SNA) in their dynamics. The SNAdynamics observed in the uncoupled system is studied analytically through phaseportraits and poincare maps. A difference system is obtained by coupling thestate equations of similar piecewise linear regions of the drive and responsesystems. The mechanism of synchronization of the coupled system is realizedthrough the bifurcation of the eigenvalues in one of the piecewise linearregions of the difference system. The analytical solutions obtained for thenormalized state equations in each piecewise linear region of the differencesystem has been used to explain the synchronization dynamics though phaseportraits and timeseries analysis. The stability of the synchronized state isconfirmed through the Master Stability Function. An explicit analyticalsolution explaining the synchronization of SNAs is reported in the literaturefor the first time.
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