@InProceedings{BatistaViaSzeBatMac:2016:SyPhOs,
author = "Batista, Carlos Alberto Schnaider and Viana, Ricardo Luiz and
Szezech Junior, Jos{\'e} Danilo and Batista, Antonio Marcos and
Macau, Elbert Einstein Nehrer",
affiliation = "{Universidade Federal do Paran{\'a} (UFPR)} and {Universidade
Federal do Paran{\'a} (UFPR)} and {Universidade Estadual de Ponta
Grossa (UEPG)} and {Universidade Estadual de Ponta Grossa (UEPG)}
and {Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Synchronization of phase oscillators with coupling mediated by a
diffusing substance",
year = "2016",
organization = "International Conference on Nonlinear Science and Complexity, 6.",
keywords = "complex networks, nonlinear dynamics and complex systems,
synchronization in nonlinear systems.",
abstract = "Networks of coupled phase oscillators have been extensively used
in many physical and biological applications. A number of
different coupling prescriptions has been studied, but most
attention has been given to two types: local coupling, where each
oscillator interacts with its nearest neighbors; and global
coupling, where an oscillator is coupled to the mean field of all
other oscillators regardless of their position. However, in many
applications it turns out that an intermediate form of coupling
would better describe the system, since each oscillator interacts
with its neighbors but with a strength which depends on the mutual
spatial distance. Such non-local couplings have been studied for a
long time but recently it was recognized their importance in the
production of chimera states. One of the interesting dynamical
aspects to be studied in networks of non-locally coupled phase
oscillators is synchronization, which is a universal phenomenon. A
paradigmatic example of them is the synchronization of flashing
fireflies, which interact by the emission of light pulses. Since
the velocity of light is very large, the coupling effect is
rapidly spread along the network and fireflies can flash in
unison, producing an impressive phenomenon. On the other hand,
emission of light pulses is not the only way oscillators can use
to communicate among themselves. Another possibility is the
emission and absorption of a chemical substance which diffuses in
the medium containing the oscillators. A theory for describing
such phenomena has been proposed by Kuramoto, and in the case of
fast relaxation it amounts to an interaction which decays
exponentially with the distance between oscillators. In this work
we consider a model of point-like phase oscillators which interact
according to this non-local coupling prescription. We investigate
in what extent the frequency synchronization properties vary with
the coupling parameters. It turns out that there is a
synchronization transition with properties depending on both the
coupling strength and range.",
conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
conference-year = "16-20 May",
language = "en",
targetfile = "batista_synchronization.pdf",
urlaccessdate = "28 abr. 2024"
}