Perspective on attractive-repulsive interactions in dynamical networks: progress and future

TL;DR

This paper reviews recent research on how attractive and repulsive interactions in complex dynamical networks influence collective behaviors, highlighting key states like chimera, solitary states, and oscillation quenching, and suggesting future research directions.

Contribution

It provides a comprehensive overview of recent advances in understanding the impact of mixed interactions on network dynamics and proposes new avenues for future exploration.

Findings

Attractive-repulsive interactions lead to diverse collective states.

Network topology critically influences emergent behaviors.

Future research directions are identified for complex network dynamics.

Abstract

Emerging collective behavior in complex dynamical networks depends on both coupling function and underlying coupling topology. Through this perspective, we provide a brief yet profound excerpt of recent research efforts that explore how the synergy of attractive and repulsive interactions influence the destiny of ensembles of interacting dynamical systems. We review the incarnation of collective states ranging from chimera or solitary states to extreme events and oscillation quenching arising as a result of different network arrangements. Though the existing literature demonstrates that many of the crucial developments have been made, nonetheless, we come up with significant routes of further research in this field of study.