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

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.

9 pages, 5 figures, 23 references

References in corpus (8)

• Synchronization in complex networks
• Diversity-induced resonance
• Global firing induced by noise or diversity in excitable media
• Emergent global oscillations in heterogeneous excitable media: The example of pancreatic beta cells
• Dimer diffusion in a washboard potential
• Hubs, diversity, and synchronization in FitzHugh-Nagumo oscillator networks: Resonance effects and biophysical implications
• The interplay between diversity and noise in an excitable cell network model
• Diversity-induced decoherence

Cited by in corpus (2)

• Effect of diversity distribution symmetry on global oscillations of networks of excitable units
• Disorder-promoted stability