Chimera-like States in Structured Heterogeneous Networks

TL;DR

This paper investigates how network topology influences the emergence of chimera-like states, characterized by coexisting synchronous and asynchronous dynamics, in heterogeneous networks with distinct node connectivity groups.

Contribution

It introduces a model of heterogeneous networks with high and low degree nodes, analyzing the formation of chimera-like states and their scaling properties.

Findings

Densely-connected nodes exhibit synchronous behavior.

Sparsely-connected nodes show drifting, asynchronous dynamics.

Network topology critically influences chimera-like state emergence.

Abstract

Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a heterogeneous network model comprising two group of nodes, of high and low degrees of connectivity. The architecture facilitates the analysis of the system, which separates into a densely-connected coherent group of nodes, perturbed by their sparsely-connected drifting neighbors. It describes a synchronous behavior of the densely-connected group and scaling properties of the induced perturbations.