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.
@article{arxiv.1511.04465,
title = {Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach},
author = {Pavel V. Kuptsov and Anna V. Kuptsova},
journal= {arXiv preprint arXiv:1511.04465},
year = {2016}
}