Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance

TL;DR

This paper explores how diversity among oscillators in a network can induce resonance and collective oscillations, linking it to polymer translocation physics for better understanding.

Contribution

It establishes a dynamical equivalence between diversity-induced resonance in oscillator networks and resonant translocation in polymer models.

Findings

Diversity drives collective oscillations in heterogeneous networks.

Resonance response is based on physics similar to polymer translocation.

Mechanical analog offers new insights into network synchronization.

Abstract

Networks of heterogeneous oscillators are often seen to display collective synchronized oscillations, even when single elements of the network do not oscillate in isolation. It has been found that it is the diversity of the individual elements that drives the phenomenon, possibly leading to the appearance of a resonance in the response. Here we study the way in which heterogeneity acts in producing an oscillatory regime in a network and show that the resonance response is based on the same physics underlying the resonant translocation regime observed in models of polymer diffusion on a substrate potential. Such a mechanical analog provides an alternative viewpoint that is useful to interpret and understand the nature of collective oscillations in heterogeneous networks.