  Emerging collective behavior in complex dynamical networks depends on both
coupling function and underlying coupling topology. Through this perspective,
we provide a brief yet profound excerpt of recent research efforts that explore
how the synergy of attractive and repulsive interactions influence the destiny
of ensembles of interacting dynamical systems. We review the incarnation of
collective states ranging from chimera or solitary states to extreme events and
oscillation quenching arising as a result of different network arrangements.
Though the existing literature demonstrates that many of the crucial
developments have been made, nonetheless, we come up with significant routes of
further research in this field of study.
