@Article{LacerdaFreiMaca:2019:MuReSy,
author = "Lacerda, Juliana Cestari and Freitas, Celso Bernardo da
N{\'o}brega de and Macau, Elbert Einstein Nehrer",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)}",
title = "Multistable remote synchronization in a star-like network of
non-identical oscillators",
journal = "Applied Mathematical Modelling",
year = "2019",
volume = "69",
pages = "453--465",
month = "May",
keywords = "Synchronization, Remote synchronization, Multistability.",
abstract = "In the context of networks of coupled oscillators, remote
synchronization happens when phase difference between non-adjacent
units become constant, even though there is no global
phase-locking. We study such regime considering a star-like
network of Stuart-Landau oscillators. As previous works, our setup
comprises peripheral nodes with different but close natural
frequencies and the central node frequency detuned from them. The
main contribution here is to numerically report multistability
under intermediate coupling values: some initial condition yield
remote synchronization, with quasi-periodic motion; while others
do not converge to synchronized states. By using a Gaussian
distribution to select the initial phases of the oscillators, we
found that relatively small value of the standard deviation and
absolute value of the mean of this distribution far from a
specific range of values seem to favor remote synchronization in
the multistability region. This phenomenon is extensively analyzed
for both cases, considering a fixed coupling value.",
doi = "10.1016/j.apm.2018.12.026",
url = "http://dx.doi.org/10.1016/j.apm.2018.12.026",
issn = "0307-904X",
language = "en",
targetfile = "lacerda_multistable.pdf",
urlaccessdate = "27 abr. 2024"
}