https://doi.org/10.1140/epjs/s11734-021-00397-2
Regular Article
A simple game and its dynamical richness for modeling synchronization in firefly-like oscillators
1
Instituto de Investigaciones Físicas, Universidad Mayor de San Andrés, Campus Universitario Cota Cota, La Paz, Bolivia
2
Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP231, Boulevard du Triomphe, 1050, Brussels, Belgium
3
Potsdam Institute for Climate Impact Research (PIK), 14473, Potsdam, Germany
4
Institut für Physik, Humboldt-Universität zu Berlin, 10115, Berlin, Germany
5
Saratov State University, Astrakhanskaya 82, 410012, Saratov, Russia
Received:
4
September
2021
Accepted:
10
December
2021
Published online:
15
February
2022
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.
© The Author(s) 2022
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