@InProceedings{FreitasMacaPiko:2016:DeHuMo,
author = "Freitas, Celso Bernardo N{\'o}brega and Macau, Elbert Einstein
Nehrer and Pikovsky, Arkady",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)}",
title = "Partial synchronization in random networks of non-linearly coupled
oscillators: the deserter hubs model",
year = "2016",
organization = "Workshop de Computa{\c{c}}{\~a}o Aplicada, 16. (WORCAP)",
abstract = "We study the Deserter Hubs Model: a Kuramoto-like model of coupled
identical phase oscillators on a network, where attractive and
repulsive couplings are balanced dynamically due to nonlinearity
of interactions. Under weak force, an oscillator tends to follow
the phase of its neighbors, but if an oscillator is compelled to
follow its peers by a sufficient large number of cohesive
neighbors, then it actually starts to act in the opposite manner,
i.e. in anti-phase with the majority. Analytic results yield that
if the repulsion parameter is small enough in comparison with the
degree of the maximum hub, then the full synchronization state is
locally stable. Numerical experiments are performed to explore the
model beyond this threshold, where the overall cohesion is lost.
We report in detail partially synchronous dynamical regimes, like
stationary phase-locking, multistability, periodic and chaotic
states. Via statistical analysis of different networks, we found a
measure allowing one to predict relative abundance of partially
synchronous stationary states in comparison to time-dependent
ones.",
conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
conference-year = "25-26 out.",
language = "en",
urlaccessdate = "26 jan. 2021"
}