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

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/persons/resource/ramirez

Ramirez Avila,  Gonzalo M.
Potsdam Institute for Climate Impact Research;

Depickère,  S.
External Organizations;

Deneubourg,  J. L.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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27037oa.pdf
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Zitation

Ramirez Avila, G. M., Depickère, S., Deneubourg, J. L., Kurths, J. (2022): A simple game and its dynamical richness for modeling synchronization in firefly-like oscillators. - European Physical Journal - Special Topics, 231, 3, 203-212.
https://doi.org/10.1140/epjs/s11734-021-00397-2


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_27037
Zusammenfassung
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.