Self-organized and driven phase synchronization in coupled map scale free networks

TL;DR

This paper investigates phase synchronization in coupled logistic maps on scale-free networks, revealing two distinct cluster formation mechanisms—self-organized and driven—depending on coupling strength, with driven clusters being externally influenced by others.

Contribution

It introduces the concept of driven synchronization in coupled map networks and characterizes the transition from self-organized to driven clusters as coupling varies.

Findings

Self-organized clusters dominate at low coupling strengths.

Driven clusters emerge at high coupling strengths.

Nodes in driven clusters are externally driven by other clusters.

Abstract

As a model of evolving networks, we study coupled logistic maps on scale free networks. For small coupling strengths nodes show turbulent behavior but form phase synchronized clusters as coupling increases. We identify two different ways of cluster formation. For small coupling strengths we get {\it self-organized clusters} which have mostly intra-cluster couplings and for large coupling strengths there is a crossover and reorganization to {\it driven clusters} which have mostly inter-cluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others.