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Abstract. In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states. We find that linear coupling effectively introduce control of chaos along with synchronisation, while synchronised chaotic states are possible with an additive parametric coupling scheme both being equally relevent for specific applications. The basin leading to synchronisation in the initial value plane and the choice of parameter values for synchronisation in the parameter plane are isolated in each case.

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