Modeling, analysis and simulation of dynamic process on complex networks

• Grant number: 12/25219-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2013
• End date: November 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Guilherme Ferraz de Arruda
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 15/07463-1 - Spreading processes on multilayer networks, BE.EP.DR

Abstract

Complex systems are composed of discrete parts that interact in a nonlinear manner. The analysis of such systems is of fundamental importance in the study of the brain, society, the Internet, the World Wide Web and food chains. Recent work has led to the description of the structure of such systems in detail when observed properties that are general to all these systems, including modular design and high level of heterogeneity in the distribution of the number of connections. However, to understand such systems, it is necessary to study dynamic processes that can be evaluated in their topologies. Despite advances in the modeling of dynamic processes, there is still a large field of research to be explored, since existing models are very simplified and the influence of structure on such dynamics has not been fully understood. In this project, we aimed to analyze and model dynamic processes in complex networks, including the spread of epidemics and rumors and synchronization of coupled oscillators. Such studies will enable a greater understanding of the influence of the structure of a network in such processes and the development of more accurate models.

Scientific publications

(12)

(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)

DE ARRUDA, GUILHERME FERRAZ; COZZO, EMANUELE; MORENO, YAMIR; RODRIGUES, FRANCISCO A.. On degree-degree correlations in multilayer networks. PHYSICA D-NONLINEAR PHENOMENA, v. 323, p. 5-11, JUN 1 2016. (13/26416-9, 15/07463-1, 12/25219-2)

DE ARRUDA, GUILHERME FERRAZ; LEBENSZTAYN, ELCIO; RODRIGUES, FRANCISCO A.; RODRIGUEZ, PABLO MARTIN. A process of rumour scotching on finite populations. ROYAL SOCIETY OPEN SCIENCE, v. 2, n. 9, SEP 2015. (13/26416-9, 12/25219-2, 13/03898-8, 11/50761-2, 12/22673-4)

DE ARRUDA, GUILHERME FERRAZ; COZZO, EMANUELE; PEIXOTO, TIAGO P.; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Disease Localization in Multilayer Networks. PHYSICAL REVIEW X, v. 7, n. 1, FEB 2 2017. (15/07463-1, 12/25219-2)

DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Fundamentals of spreading processes in single and multilayer complex networks. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, v. 756, p. 1-59, OCT 5 2018. (13/07375-0, 12/25219-2, 16/25682-5)

DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO APARECIDO; RODRIGUEZ, PABLO MARTIN; COZZO, EMANUELE; MORENO, YAMIR. A general Markov chain approach for disease and rumour spreading in complex networks. JOURNAL OF COMPLEX NETWORKS, v. 6, n. 2, p. 215-242, APR 2018. (15/07463-1, 12/25219-2, 16/11648-0, 15/03868-7, 16/25682-5)

CIBA, MANUEL; BESTEL, ROBERT; NICK, CHRISTOPH; DE ARRUDA, GUILHERME FERRAZ; PERON, THOMAS; HENRIQUE, COMIN CESAR; COSTA, LUCIANO DA FONTOURA; RODRIGUES, FRANCISCO APARECIDO; THIELEMANN, CHRISTIANE. Comparison of Different Spike Train Synchrony Measures Regarding Their Robustness to Erroneous Data From Bicuculline-Induced Epileptiform Activity. NEURAL COMPUTATION, v. 32, n. 5, p. 887-911, MAY 2020. (15/22308-2, 16/23827-6, 18/09125-4, 13/26416-9, 12/51301-8, 12/25219-2)

COZZO, EMANUELE; DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Layer degradation triggers an abrupt structural transition in multiplex networks. PHYSICAL REVIEW E, v. 100, n. 1, p. 7-pg., 2019-07-25. (16/25682-5, 13/07375-0, 12/25219-2, 15/07463-1)

MENDEZ-BERMUDEZ, J. A.; FERRAZ DE ARRUDA, GUILHERME; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Scaling properties of multilayer random networks. Physical Review E, v. 96, n. 1, JUL 7 2017. (13/26416-9, 11/50761-2, 12/25219-2)

COZZO, EMANUELE; DE ARRUDA, GUILHERME FERRAZ; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Layer degradation triggers an abrupt structural transition in multiplex networks. Physical Review E, v. 100, n. 1, JUL 25 2019. (16/25682-5, 13/07375-0, 12/25219-2, 15/07463-1)

MENDEZ-BERMUDEZ, J. A.; FERRAZ DE ARRUDA, GUILHERME; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Diluted banded random matrices: scaling behavior of eigenfunction and spectral properties. Journal of Physics A-Mathematical and Theoretical, v. 50, n. 49, DEC 8 2017. (13/26416-9, 15/07463-1, 11/50761-2, 12/25219-2)

DE ARRUDA, GUILHERME FERRAZ; COZZO, EMANUELE; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. A polynomial eigenvalue approach for multiplex networks. NEW JOURNAL OF PHYSICS, v. 20, SEP 20 2018. (13/26416-9, 12/25219-2)

MENDEZ-BERMUDEZ, J. A.; FERRAZ DE ARRUDA, GUILHERME; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Scaling properties of multilayer random networks. PHYSICAL REVIEW E, v. 96, n. 1, p. 8-pg., 2017-07-07. (11/50761-2, 13/26416-9, 12/25219-2)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ARRUDA, Guilherme Ferraz de. Modeling spreading processes in complex networks. 2017. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.