A simple game and its dynamical richness for modeling synchronization in firefly-like oscillators

G. M. Ramírez-Ávila, S. Depickère, J. L. Deneubourg, J. Kurths

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Synchronization in pulse-coupled oscillators has been broadly studied under different perspectives. We present a game with simple rules to describe synchronization in such kinds of oscillators. This game, intended to describe easily how fireflies synchronize, constitutes a discrete model different from those based on maps, ordinary differential equations, or multi-agent systems. Our results on complete synchronization depend strongly on the used rules that we compare statistically. We also calculate the basins of attraction to quantify the importance of the initial conditions in reaching or not synchronization and the time intervals required for that.

Original languageEnglish
Pages (from-to)203-212
Number of pages10
JournalEuropean Physical Journal: Special Topics
Volume231
Issue number3
DOIs
StatePublished - Apr 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).

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