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). Ministério da Ciência, Tecnologia e Inovação (Brasil). 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.

Scientific publications

(9)

(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)

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, APR 15 2018. (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, FEB 2018. (15/07373-2, 14/14229-2, 11/50151-0, 15/50122-0)

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., 2017-05-11. (15/07373-2, 15/50122-0, 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, MAY 11 2017. (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, JUL 1 2020. (11/50151-0, 14/14229-2, 15/07373-2, 15/50122-0)

BUILES-JARAMILLO, ALEJANDRO; RAMOS, ANTONIO M. T.; POVEDA, GERMAN. Atmosphere-Land Bridge between the Pacific and Tropical North Atlantic SST's through the Amazon River basin during the 2005 and 2010 droughts. Chaos, v. 28, n. 8, AUG 2018. (14/14229-2, 15/50122-0)

RAMOS, ANTONIO M. T.; MACAU, ELBERT E. N.. Minimum Sample Size for Reliable Causal Inference Using Transfer Entropy. Entropy, v. 19, n. 4, APR 2017. (15/07373-2, 14/14229-2, 15/50122-0)

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, MAR 1 2016. (15/07373-2, 14/14229-2)

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, OCT 17 2017. (14/14229-2, 15/07373-2, 15/50122-0, 15/23607-3)