Elbert E. N. Macau

ORCID: 0000-0002-6337-8081
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About
Contact & Profiles
Research Areas
  • Nonlinear Dynamics and Pattern Formation
  • Chaos control and synchronization
  • Neural dynamics and brain function
  • Complex Systems and Time Series Analysis
  • Astro and Planetary Science
  • Quantum chaos and dynamical systems
  • Spacecraft Dynamics and Control
  • Neural Networks Stability and Synchronization
  • stochastic dynamics and bifurcation
  • Complex Network Analysis Techniques
  • Cellular Automata and Applications
  • Space Satellite Systems and Control
  • COVID-19 epidemiological studies
  • Stellar, planetary, and galactic studies
  • Climate variability and models
  • Distributed Control Multi-Agent Systems
  • Opinion Dynamics and Social Influence
  • Chaos-based Image/Signal Encryption
  • Mathematical Dynamics and Fractals
  • Time Series Analysis and Forecasting
  • Heart Rate Variability and Autonomic Control
  • Data Visualization and Analytics
  • Slime Mold and Myxomycetes Research
  • Neural Networks and Applications
  • Neuroscience and Neural Engineering

Universidade Federal de São Paulo
2017-2024

National Institute for Space Research
2013-2022

Bernstein Center for Computational Neuroscience Berlin
2018

Ohio University
2018

Humboldt-Universität zu Berlin
2018

Universidade do Vale do Paraíba
2016-2017

Faculdade de Medicina de São José do Rio Preto
2016

Interface (United States)
2016

Fundação de Apoio a Pesquisa do Estado de Goiás
2015

Illinois State University
2015

This work concerns analytical results on the role of coupling strength in phenomenon onset complete frequency locking power-grids modelled as a network second-order Kuramoto oscillators. Those allow estimation for and to assess features oscillators that favor synchronization. The are evaluated using an order parameter defined normalized sum absolute values phase deviations over time. investigation synchronization within subsets space involved problem is also carried out. It shown good...

10.1063/1.4967850 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2016-11-01

Exploring all its ramifications, we give an overview of the simple yet fundamental bouncing ball problem, which consists a vertically on sinusoidally vibrating table under action gravity. The dynamics is modeled basis discrete map difference equations, numerically solved fully reveals rich variety nonlinear behaviors, encompassing irregular nonperiodic orbits, subharmonic and chaotic motions, chattering mechanisms, also unbounded orbits. For periodic corresponding conditions for stability...

10.1103/physreve.79.026206 article EN Physical Review E 2009-02-06

This paper presents a study of special trajectories attainment for mobile robots based on the dynamical features chaotic systems. method construction is envisaged missions terrain exploration, with specific purpose search or patrol, where fast scanning robot workspace required. We propose imparting motion behavior to by means planner goal positions sequence an area-preserving map. As consequence, seem highly opportunistic and unpredictable external observers, trajectories's characteristics...

10.1155/2007/61543 article EN Mathematical Problems in Engineering 2007-01-01

Excessively high, neural synchronization has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding mechanisms can thus help control or even treat epilepsy. In this paper, we study in a random network where nodes are neurons excitatory and inhibitory synapses, activity for each node is provided by adaptive exponential integrate-and-fire model. framework, verify that decrease influence inhibition generate originating from pattern...

10.3389/fncom.2019.00019 article EN cc-by Frontiers in Computational Neuroscience 2019-04-05

The number of spatiotemporal data sets has increased rapidly in the last years, which demands robust and fast methods to extract information from this kind data. Here, we propose a network-based model, called Chronnet, for analysis. network construction process consists dividing geometric space into grid cells represented by nodes connected chronologically. Strong links represent consecutive recurrent events between cells. chronnet is fast, making model suitable large sets. Using artificial...

10.1038/s41467-020-17634-2 article EN cc-by Nature Communications 2020-08-12

Identifying causal relations from observational data sets has posed great challenges in data-driven causality inference studies. One of the successful approaches to detect direct coupling information theory framework is transfer entropy. However, core entropy-based tools lies on probability estimation underlying variables. Here we propose a approach for that incorporates recurrence plot features into theory. We define it as measure conditional dependence (RMCD), and present some...

10.1103/physreve.95.052206 article EN Physical review. E 2017-05-11

The recurrence analysis of dynamic systems has been studied since Poincaré's seminal work. Since then, several approaches have developed to study properties in nonlinear dynamical systems. In this work, we the recently entropy microstates. We propose a new quantifier, maximum (Smax). concept uses diversity microstates plot and is able set automatically optimum neighborhood (ϵ-vicinity), turning free vicinity parameter. addition, ϵ turns out be novel quantifier itself. apply Smax...

10.1063/1.5125921 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2020-04-01

The severe acute respiratory syndrome of coronavirus 2 spread globally very quickly, causing great concern at the international level due to severity associated disease, so-called COVID-19. Considering Rio de Janeiro city (Brazil) as an example, first diagnosis this disease occurred in March 2020, but exact moment when local virus started is uncertain Brazilian epidemiological surveillance system was not widely prepared detect suspected cases COVID-19 that time. Improvements over pandemic,...

10.1063/5.0079904 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2022-03-01

We use ordinal analysis and spatial permutation entropy to distinguish between eyes-open eyes-closed resting brain states. To do so, we analyze EEG data recorded with 64 electrodes from 109 healthy subjects, under two one-minute baseline runs: One eyes open, one closed. these states, where the is evaluated considering distribution of for each time instant. both raw post-processed only alpha-band frequency (8–12Hz) which known be important states in brain. conclude that captures information...

10.1016/j.chaos.2023.113453 article EN cc-by Chaos Solitons & Fractals 2023-04-28

A stochastic cellular automata model for wildland fire spread under flat terrain and no-wind conditions is proposed its dynamics characterized analyzed. One of three possible states characterizes each cell: vegetation cell, burning cell burnt cell. The modeled as a event with an effective probability S which function probabilities that characterize: the proportion cells across lattice, becomes burnt, from to neighboring set simulation experiments performed analyze effects different values in...

10.1088/1742-6596/285/1/012038 article EN Journal of Physics Conference Series 2011-03-01

We explore a properly interconnected set of Kuramoto type oscillators that results in new associative-memory network configuration, which includes second- and third-order additional terms the Fourier expansion network's coupling. Investigation response to different external stimuli indicates an increase capability for coding information retrieval. Comparison output with equivalent experiment subjects, recognizing perturbed binary patterns, shows comparable between two approaches. also...

10.1109/tnnls.2014.2345572 article EN IEEE Transactions on Neural Networks and Learning Systems 2014-08-15

We present a new parameter estimation procedure for nonlinear systems. Such technique is based on the synchronization between model and system whose unknown wanted. Synchronization accomplished by controlling to make it follow system. use geometric control techniques design These allow us derive sufficient conditions hence proper estimation. As an example, this used estimate of example serving as model.

10.1103/physreve.71.047203 article EN Physical Review E 2005-04-27

We consider a network topology according to the cortico-cortical connection of human brain, where each cortical area is composed random adaptive exponential integrate-and-fire neurons.Depending on parameters, this neuron model can exhibit spike or burst patterns. As diagnostic tool identify and patterns we utilise coefficient variation neuronal inter-spike interval.In our network, verify existence synchronisation in different areas.Our simulations show that arrangement, i.e. its rich-club...

10.1088/1361-6579/aace91 article EN Physiological Measurement 2018-06-22

Abstract A prominent feature of complex networks is the appearance communities, also known as modular structures. Specifically, communities are groups nodes that densely connected among each other but connect sparsely with others. However, detecting in so far a major challenge, particular, when evolve time. Here, we propose change community detection approach. It underlies defining an intrinsic dynamic for network interacting particles (based on diffusive equations motion and topological...

10.1038/srep25570 article EN cc-by Scientific Reports 2016-05-09
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