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Non-linear and chaotic dynamics with spatial distribution and their characterization by using the Complex Network approach

Grant number: 14/14229-2
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: February 01, 2015
End date: December 17, 2017
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Principal Investigator:Elbert Einstein Nehrer Macau
Grantee:Antônio Mário de Torres Ramos
Host Institution:Instituto Nacional de Pesquisas Espaciais (INPE). São José dos Campos , SP, Brazil
Associated research grant:15/50122-0 - Dynamic phenomena in complex networks: basics and applications, AP.TEM
Associated scholarship(s):15/07373-2 - Development of quantifiers through Information Theory techniques and probabilistic graphical models with application in the Amazon Region, BE.EP.PD

Abstract

The aim of this project is to develop a mathematical and computational framework to integrate newer methods coming from nonlinear time series analysis. We will apply this framework in the study of nonlinear dynamical systems spatially distributed and that can present chaotic dynamics. The main objective is to develop a new paradigm that is based on the use of complex networks approach to quantify new aspects of statistical time series from measurement points obtained over a spatially distributed system. From this approach, we intend to characterize the multiscale aspects displayed by the dynamics present in climate systems. As an application, this new paradigm will be used to improve the understanding of the evolution dynamics of the Amazon region's climate over last years.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications (9)
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
RAMOS, ANTONIO M. T.; BUILES-JARAMILLO, ALEJANDRO; POVEDA, GERMAN; GOSWAMI, BEDARTHA; MACAU, ELBERT E. N.; KURTHS, JUERGEN; MARWAN, NORBERT. Recurrence measure of conditional dependence and applications. PHYSICAL REVIEW E, v. 95, n. 5, p. 8-pg., . (15/07373-2, 15/50122-0, 14/14229-2)
RAMOS, ANTNIO M. DE T.; ZOU, YONG; DE OLIVEIRA, GILVAN SAMPAIO; KURTHS, JURGEN; MACAU, ELBERT E. N.. Unveiling non-stationary coupling between Amazon and ocean during recent extreme events. Climate Dynamics, v. 50, n. 3-4, p. 767-776, . (15/07373-2, 14/14229-2, 11/50151-0, 15/50122-0)
SOSA-CORREA, WILLIAM O.; RAMOS, ANTONIO M. T.; VASCONCELOS, GIOVANI L.. Investigation of non-Gaussian effects in the Brazilian option market. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 496, p. 525-539, . (14/14229-2)
RAMOS, ANTONIO M. T.; BUILES-JARAMILLO, ALEJANDRO; POVEDA, GERMAN; GOSWAMI, BEDARTHA; MACAU, ELBERT E. N.; KURTHS, JUERGEN; MARWAN, NORBERT. Recurrence measure of conditional dependence and applications. Physical Review E, v. 95, n. 5, . (15/07373-2, 14/14229-2, 15/50122-0)
GUO, HENG; RAMOS, ANTOANIO M. T.; MACAU, ELBERT E. N.; ZOU, YONG; GUAN, SHUGUANG. Constructing regional climate networks in the Amazonia during recent drought events. PLoS One, v. 12, n. 10, . (14/14229-2, 15/07373-2, 15/50122-0, 15/23607-3)
RAMOS, ANTONIO M. T.; CARVALHO, J. A.; VASCONCELOS, G. L.. Exponential model for option prices: Application to the Brazilian market. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 445, p. 161-168, . (15/07373-2, 14/14229-2)
RAMOS, ANTONIO M. T.; MACAU, ELBERT E. N.. Minimum Sample Size for Reliable Causal Inference Using Transfer Entropy. Entropy, v. 19, n. 4, . (15/07373-2, 14/14229-2, 15/50122-0)
RAMOS, ANTONIO M. T.; CASAGRANDE, HELDER L.; MACAU, ELBERT E. N.. Investigation on the high-order approximation of the entropy bias. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 549, . (11/50151-0, 14/14229-2, 15/07373-2, 15/50122-0)