Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach

Abstract

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.Comment: 15 pages, 8 figure