%0 Journal Article %T Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach %A Pavel V. Kuptsov %A Anna V. Kuptsova %J Physics %D 2015 %I arXiv %X A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed. Using this method three starlike networks based on Ikeda, predator-prey and H\'enon maps are studied. %U http://arxiv.org/abs/1511.04465v1