@MastersThesis{Costa:2014:UsGrRe,
author = "Costa, Diego Guimar{\~a}es de Brito",
title = "Uso de gr{\'a}fico de recorr{\^e}ncia e redes complexas para
caracteriza{\c{c}}{\~a}o de sistemas complexos de baixa
dimens{\~a}o",
school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
year = "2014",
address = "S{\~a}o Jos{\'e} dos Campos",
month = "2014-07-24",
keywords = "sistemas din{\^a}micos, sistemas complexos, an{\'a}lise de
redes, dynamical systems, complex systems, network analysis.",
abstract = "Este trabalho prop{\~o}e um novo m{\'e}todo de
suaviza{\c{c}}{\~a}o do gr{\'a}fico de recorr{\^e}ncia. Os
objetivos principais s{\~a}o: capturar as estruturas principais
de gr{\'a}fico de recorr{\^e}ncia e eliminar poss{\'{\i}}veis
ru{\'{\i}}dos que podem ser encontrados na s{\'e}rie temporal,
o que dar{\'a} origem ao novo gr{\'a}fico de recorr{\^e}ncia.
As an{\'a}lises do novo dispositivo s{\~a}o realizadas a partir
da utiliza{\c{c}}{\~a}o de medidas de an{\'a}lise de
quantifica{\c{c}}{\~a}o de recorr{\^e}ncia (\emph{RQA -
Recurrence Quantification Analysis}); extra{\'{\i}}das do
gr{\'a}fico de recorr{\^e}ncia, e, em seguida, construir uma
rede complexa, proveniente da matriz de recorr{\^e}ncia. Medidas
dessa rede complexa s{\~a}o utilizadas para caracterizar
propriedades do mapa log{\'{\i}}stico, tais como
per{\'{\i}}odo, jun{\c{c}}{\~a}o de bandas, caoticidade e
intermit{\^e}ncia. ABSTRACT: In this work, the recurrence plot is
analyscd and a new mcthod is proposed in order to smooth its
visualization and transition to a complcx network. The main
purpose to creatc a smoothcr version of the recurrence plot is to
capture macro structures anel eliminate possible noises that
coulel be found in the time series that originatcs thc recurrencc
ploto Thc new recurrcnce plot is measured by the same techniques
that are found on the regular analysis of recurrence plots, i.e.
RQA - Recurrcnce Quantification Analysis. Complex network measures
are also used to further analyze the networks created frorn the
recurrence matrix in such way that by using both mensures the new
method can he uscful to characterize different periodic, chaotic,
banel-merging anel quasi-periodic regimes on any dynamic system.",
committee = "Guimar{\~a}es, Lamartine Nogueira Frutuoso (presidente) and
Macau, Elbert Einstein Nehrer (orientador) and Quiles, Marcos
Gon{\c{c}}alves (orientador) and Domingues, Margarete Oliveira
and Lopes, Sergio Roberto",
englishtitle = "Identifying low dimensional systems by recurrence plot and complex
networks techniques",
language = "pt",
pages = "96",
ibi = "8JMKD3MGP5W34M/3GML4CE",
url = "http://urlib.net/ibi/8JMKD3MGP5W34M/3GML4CE",
targetfile = "publicacao.pdf",
urlaccessdate = "03 maio 2024"
}