@Article{SautterRosaFerr:2023:GrPaAn,
author = "Sautter, Rubens Andreas and Rosa, Reinaldo Roberto and Ferreira,
Luan Oriomn de Oliveira Bara{\'u}na",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)}",
title = "Gradient Pattern Analysis of Coupled Map Lattices:Insights into
Transient and Long-Term Behaviors",
journal = "Proceeding Series of the Brazilian Society of Computational and
Applied Mathematics",
year = "2023",
volume = "10",
number = "1",
pages = "e10058",
note = "Trabalho apresentado no XLII CNMAC, Universidade Federal de Mato
Grosso do Sul - Bonito - MS, 2023.",
keywords = "Coupled Map Lattice (CML), Gradient Pattern Analysis (GPA),
Chaotic systems.",
abstract = "Gradient Pattern Analysis (GPA) is a useful technique for
analyzing the dynamics ofnonlinear 2D-spatiotemporal systems,
which is based on the gradient symmetry-breaking propertiesof a
matrix snapshot sequence. GPA has found numerous applications in
dynamic systems, particu-larly in studying logistic Coupled Map
Lattices (CMLs) and Swift-Hohenberg amplitude equations.In this
work, we propose a new mathematical operation related to the first
gradient moment (G1)defined by the GPA theory. The performance of
this new measure is evaluated by applying it totwo chaotic CML
models (Logistic and Shobu-Ose-Mori). The GPA using the new
parameter (G1)provides a more accurate analysis, allowing the
identification of conditions that partially break thegradient
symmetry over time. Based on the GPA measurements (G1,G2andG3),
including acombined analysis with the chaotic parameters, our
results demonstrate the potential to analyzechaotic spatiotemporal
systems improving our understanding of their underlying
dynamics.",
doi = "10.5540/03.2023.010.01.0058",
url = "http://dx.doi.org/10.5540/03.2023.010.01.0058",
issn = "2359-0793",
language = "en",
targetfile = "4172-Texto do Artigo-8188-8373-10-20231109.pdf",
urlaccessdate = "15 jun. 2024"
}