Abstract

In a recent paper [Chaos 30, 073139 (2020)], we analyzed an extension of the Winfree model with nonlinear interactions. The nonlinear coupling function Q was mistakenly identified with the non-infinitesimal phase-response curve (PRC). Here, we assess to what extent Q and the actual PRC differ in practice. By means of numerical simulations, we compute the PRCs corresponding to the Q functions previously considered. The results confirm a qualitative similarity between the PRC and the coupling function Q in all cases.

Highlights

  • A is proportional to the sum over the pulses emitted by the N oscillators of the population

  • The nonlinear coupling function Q was mistakenly identified with the non-infinitesimal phase-response curve (PRC)

  • We assess to what extent Q and the actual PRC differ in practice

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Summary

Introduction

A is proportional to the sum over the pulses emitted by the N oscillators of the population. The nonlinear coupling function Q was mistakenly identified with the non-infinitesimal phase-response curve (PRC). By means of numerical simulations, we compute the PRCs corresponding to the Q functions previously considered.

Results
Conclusion
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