Transitions in coupled non-stationary complex systems with minimal perturbation

• Grant number: 15/23487-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2016
• End date: July 31, 2016
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Elbert Einstein Nehrer Macau
• Grantee: Thiago de Lima Prado
• Host Institution: Instituto Nacional de Pesquisas Espaciais (INPE). São José dos Campos , SP, Brazil
• Associated research grant: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications, AP.TEM

Abstract

Many are the dynamical systems in which the stationary can not be well dened atnite time, and for real dynamical systems this is almost a rule due seldom possibilityto dene and reach this state. With this background, it is necessary to evaluate thissystems using tools that takes this characteristics in account, and can be implementedeven under complex situations as such climate analysis (with few statistics on data) orneuronal signal (which the acquisition receives a lot of noise and to repeat many times thecollection of data is not normally possible). Some of the most important tools availableand with simple application to such problems is derived from the recurrence concept ofPoincare, which one of many possible approach is through recurrence plots (RPs), thatgenerates a matrix with zeros and ones describing the recurrence of the dynamical systemevolution. Many are the recurrence quantiers which can be extracted from the plots,among them the determinism (DET) is based in the diagonal lines formed in a given RP,and it is generally related with the predictability of the system.This tool (and others basedin similar concepts) showed to be quite useful to distinguish transitions of dierent kinds(as such periodic-chaos, chaos-chaos, chaos-hyperchaos among others) for many dierentdynamical systems. In this proposal of work, we aim to show how a rened analysis withrecurrence framework can be extremely useful to increase the understanding of climaticphenomena, coupled dynamical and neuronal systems, based upon our previous experiencein non stationary systems.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DOS SANTOS LIMA, GUSTAVO ZAMPIER; LOBAO-SOARES, BRUNO; CORSO, GILBERTO; BELCHIOR, HINDIAEL; LOPES, SERGIO ROBERTO; PRADO, THIAGO DE LIMA; NASCIMENTO, GEORGE; DE FRANCA, ARTHUR CAVALCANTI; FONTENELE-ARAUJO, JOHN; IVANOV, PLAMEN CH. Hippocampal and cortical communication around micro-arousals in slow-wave sleep. SCIENTIFIC REPORTS, v. 9, APR 10 2019. (15/23487-8)

DOS SANTOS LIMA, GUSTAVO ZAMPIER; LOPES, SERGIO ROBERTO; PRADO, THIAGO LIMA; LOBAO-SOARES, BRUNO; DO NASCIMENTO, GEORGE C.; FONTENELE-ARAUJO, JOHN; CORSO, GILBERTO. Predictability of arousal in mouse slow wave sleep by accelerometer data. PLoS One, v. 12, n. 5, MAY 18 2017. (15/23487-8)