TY - JOUR
T1 - A simple game and its dynamical richness for modeling synchronization in firefly-like oscillators
AU - Ramírez-Ávila, G. M.
AU - Depickère, S.
AU - Deneubourg, J. L.
AU - Kurths, J.
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/4
Y1 - 2022/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85124765774&partnerID=8YFLogxK
U2 - 10.1140/epjs/s11734-021-00397-2
DO - 10.1140/epjs/s11734-021-00397-2
M3 - Artículo
AN - SCOPUS:85124765774
VL - 231
SP - 203
EP - 212
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
SN - 1951-6355
IS - 3
ER -