  We study the occurrence of frequency synchronised states with tunable
emergent frequencies in a network of connected systems. This is achieved by the
interplay between time scales of nonlinear dynamical systems connected to form
a network, where out of N systems, m evolve on a slower time scale. In such
systems, in addition to frequency synchronised states, we also observe
amplitude death, synchronised clusters and multifrequency states. We report an
interesting cross over behaviour from fast to slow collective dynamics as the
number of slow systems m increases. The transition to amplitude death is
analysed in detail for minimal network configurations of 3 and 4 systems which
actually form possible motifs of the full network.
