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

TL;DR

This paper introduces a generalized model for starlike networks with nonlinear coupling, developing a stability analysis method for synchronized clusters and applying it to networks based on Ikeda, predator-prey, and Hénon maps.

Contribution

It presents a new generalized model and a stability analysis method for cluster synchronization in starlike networks with nonlinear coupling.

Findings

Stability analysis method successfully applied to different network models.

Identified conditions for cluster synchronization in various nonlinear systems.

Enhanced understanding of synchronization phenomena in complex networks.

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.