Modelling of dynamical processes in complex networks

• Grant number: 13/26416-9
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2014
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Francisco Aparecido Rodrigues
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Complex systems are composed by discrete parts that interact non-linearly and can be represented as complex networks. The analysis of such systems is fundamental for the study of the brain, of society, the Internet, the World Wide Web and food webs. In this project, we propose to complement the works related to the analysis of the influence of the organization of complex networks in the evolution of dynamic processes. We will analyze how the presence of third order cycles influences the spectrum of networks, which is directly related to dynamic processes, such as synchronization and epidemic spreading. We will complement the studies related to the process of explosive synchronization in complex networks, in order to determine how local properties of oscillators lead to the emergence of this phenomenon. Dynamic processes will be analyzed in spatial networks, to determine how the spatial properties interfere in such processes. Models of rumors spreading based on Markov chains will be developed and we will investigate how regression methods can be used to predict the evolution of social dynamics. Finally, we will determine how patterns of connections influence dynamic processes using data mining tools. These studies will quantify how the organization of different complex systems affects dynamic processes, to enable a better understanding of the relationship between structure and dynamics of networks. (AU)

Scientific publications

(34)

(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)

PERON, THOMAS K. DM.; KURTHS, JUERGEN; RODRIGUES, FRANCISCO A.; SCHIMANSKY-GEIER, LUTZ; SONNENSCHEIN, BERNARD. Traveling phase waves in asymmetric networks of noisy chaotic attractors. Physical Review E, v. 94, n. 4, OCT 13 2016. (13/26416-9, 15/02486-3, 12/22160-7)

EROGLU, DENIZ; PERON, THOMAS K. D. M.; MARWAN, NOBERT; RODRIGUES, FRANCISCO A.; COSTA, LUCIANO DA F.; SEBEK, MICHAEL; KISS, ISTVAN Z.; KURTHS, JUERGEN. Entropy of weighted recurrence plots. Physical Review E, v. 90, n. 4, OCT 21 2014. (12/22160-7, 13/26416-9, 11/50761-2)

DE ARRUDA, GUILHERME FERRAZ; BARBIERI, ANDRE LUIZ; RODRIGUEZ, PABLO MARTIN; RODRIGUES, FRANCISCO A.; MORENO, YAMIR; COSTA, LUCIANO DA FONTOURA. Role of centrality for the identification of influential spreaders in complex networks. Physical Review E, v. 90, n. 3, SEP 22 2014. (13/26416-9, 13/03898-8, 11/50761-2)

SONNENSCHEIN, BERNARD; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUERGEN; SCHIMANSKY-GEIER, LUTZ. Collective dynamics in two populations of noisy oscillators with asymmetric interactions. Physical Review E, v. 91, n. 6, JUN 16 2015. (12/22160-7, 13/26416-9)

FONTANARI, JOSE F.; RODRIGUES, FRANCISCO A.. Influence of network topology on cooperative problem-solving systems. THEORY IN BIOSCIENCES, v. 135, n. 3, 1, SI, p. 101-110, SEP 2016. (13/26416-9, 13/17131-0)

YE, CHENG; COMIN, CESAR H.; PERON, THOMAS K. D. M.; SILVA, FILIPI N.; RODRIGUES, FRANCISCO A.; COSTA, LUCIANO DA F.; TORSELLO, ANDREA; HANCOCK, EDWIN R.. Thermodynamic characterization of networks using graph polynomials. Physical Review E, v. 92, n. 3, SEP 25 2015. (13/26416-9, 11/22639-8, 12/22160-7, 12/50986-7, 11/50761-2)

RODRIGUES, FRANCISCO A.; PERON, THOMAS K. D. M.; JI, PENG; KURTHS, JUERGEN. The Kuramoto model in complex networks. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, v. 610, p. 1-98, JAN 26 2016. (12/22160-7, 13/26416-9, 15/02486-3)

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)

CORREA, DEBORA C.; AP RODRIGUES, FRANCISCO. A survey on symbolic data-based music genre classification. EXPERT SYSTEMS WITH APPLICATIONS, v. 60, p. 190-210, OCT 30 2016. (11/50761-2, 13/26416-9, 12/17961-0)

JI, PENG; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUERGEN. Low-dimensional behavior of Kuramoto model with inertia in complex networks. SCIENTIFIC REPORTS, v. 4, MAY 2 2014. (13/26416-9, 11/50761-2)

COMIN, CESAR H.; PERON, THOMAS; SILVA, FILIPI N.; AMANCIO, DIEGO R.; RODRIGUES, FRANCISCO A.; COSTA, LUCIANO DA F.. Complex systems: Features, similarity and connectivity. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, v. 861, p. 1-41, MAY 25 2020. (15/22308-2, 15/08003-4, 16/23827-6, 18/09125-4, 16/19069-9, 14/20830-0, 13/26416-9)

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)

PERON, THOMAS K. DM.; KURTHS, JUERGEN; RODRIGUES, FRANCISCO A.; SCHIMANSKY-GEIER, LUTZ; SONNENSCHEIN, BERNARD. Traveling phase waves in asymmetric networks of noisy chaotic attractors. PHYSICAL REVIEW E, v. 94, n. 4, p. 8-pg., 2016-10-13. (13/26416-9, 15/02486-3, 12/22160-7)

VEGA-OLIVEROS, DIDIER A.; COSTA, LUCIANO DA F.; RODRIGUES, FRANCISCO A.. Rumor propagation with heterogeneous transmission in social networks. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 21-pg., 2017-02-01. (11/50761-2, 13/26416-9)

VEGA-OLIVEROS, DIDIER A.; MENDEZ-BERMULEZ, J. A.; RODRIGUES, FRANCISCO A.. Multifractality in random networks with power-law decaying bond strengths. PHYSICAL REVIEW E, v. 99, n. 4, p. 7-pg., 2019-04-10. (13/07375-0, 16/23698-1, 13/26416-9)

YE, CHENG; COMIN, CESAR H.; PERON, THOMAS K. D. M.; SILVA, FILIPI N.; RODRIGUES, FRANCISCO A.; COSTA, LUCIANO DA F.; TORSELLO, ANDREA; HANCOCK, EDWIN R.. Thermodynamic characterization of networks using graph polynomials. PHYSICAL REVIEW E, v. 92, n. 3, p. 16-pg., 2015-09-25. (13/26416-9, 12/50986-7, 11/22639-8, 11/50761-2, 11/50761-2, 12/22160-7)

DE ARRUDA, GUILHERME FERRAZ; BARBIERI, ANDRE LUIZ; RODRIGUEZ, PABLO MARTIN; RODRIGUES, FRANCISCO A.; MORENO, YAMIR; COSTA, LUCIANO DA FONTOURA. Role of centrality for the identification of influential spreaders in complex networks. PHYSICAL REVIEW E, v. 90, n. 3, p. 17-pg., 2014-09-22. (13/03898-8, 11/50761-2, 13/26416-9)

EROGLU, DENIZ; PERON, THOMAS K. D. M.; MARWAN, NOBERT; RODRIGUES, FRANCISCO A.; COSTA, LUCIANO DA F.; SEBEK, MICHAEL; KISS, ISTVAN Z.; KURTHS, JUERGEN. Entropy of weighted recurrence plots. Physical Review E, v. 90, n. 4, p. 7-pg., 2014-10-21. (11/50761-2, 13/26416-9, 12/22160-7)

JI, PENG; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUEURGEN. Analysis of cluster explosive synchronization in complex networks. Physical Review E, v. 90, n. 6, p. 10-pg., 2014-12-18. (11/50761-2, 13/26416-9, 12/22160-7)

MENDEZ-BERMUDEZ, J. A.; ALCAZAR-LOPEZ, A.; MARTINEZ-MENDOZA, A. J.; RODRIGUES, FRANCISCO A.; PERON, THOMAS K. D. M.. Universality in the spectral and eigenfunction properties of random networks. PHYSICAL REVIEW E, v. 91, n. 3, p. 10-pg., 2015-03-13. (11/50761-2, 13/26416-9, 12/22160-7)

SONNENSCHEIN, BERNARD; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUERGEN; SCHIMANSKY-GEIER, LUTZ. Collective dynamics in two populations of noisy oscillators with asymmetric interactions. Physical Review E, v. 91, n. 6, p. 7-pg., 2015-06-16. (13/26416-9, 12/22160-7)

VEGA-OLIVEROS, DIDIER A.; MENDEZ-BERMULEZ, J. A.; RODRIGUES, FRANCISCO A.. Multifractality in random networks with power-law decaying bond strengths. Physical Review E, v. 99, n. 4, APR 10 2019. (13/07375-0, 16/23698-1, 13/26416-9)

VEGA-OLIVEROS, DIDIER A.; COSTA, LUCIANO DA F.; RODRIGUES, FRANCISCO A.. Rumor propagation with heterogeneous transmission in social networks. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, FEB 2017. (13/26416-9, 11/50761-2)

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, JUL 7 2017. (13/26416-9, 11/50761-2, 12/25219-2)

MENDEZ-BERMUDEZ, J. A.; ALCAZAR-LOPEZ, A.; MARTINEZ-MENDOZA, A. J.; RODRIGUES, FRANCISCO A.; PERON, THOMAS K. D. M.. Universality in the spectral and eigenfunction properties of random networks. Physical Review E, v. 91, n. 3, MAR 13 2015. (12/22160-7, 13/26416-9, 11/50761-2)

JI, PENG; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUEURGEN. Analysis of cluster explosive synchronization in complex networks. Physical Review E, v. 90, n. 6, DEC 18 2014. (12/22160-7, 13/26416-9, 11/50761-2)

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)

SONNENSCHEIN, BERNARD; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; KURTHS, JUERGEN; SCHIMANSKY-GEIER, LUTZ. Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations. European Physical Journal B, v. 87, n. 8, AUG 11 2014. (12/22160-7, 13/26416-9)

CONCEICAO, KATIANE SILVA; ULRICH, WERNER; RIBEIRO DINIZ, CARLOS ALBERTO; RODRIGUES, FRANCISCO APARECIDO; DE ANDRADE, MARINHO GOMES. A Generalized Approach to the Modeling of the Species-Area Relationship. PLoS One, v. 9, n. 8, AUG 29 2014. (13/26416-9, 08/10613-1)

SILVA, FILIPI N.; COMIN, CESAR H.; PERON, THOMAS K. D. M.; RODRIGUES, FRANCISCO A.; YE, CHENG; WILSON, RICHARD C.; HANCOCK, EDWIN R.; COSTA, LUCIANO DA F.. Concentric network symmetry. INFORMATION SCIENCES, v. 333, p. 61-80, MAR 10 2016. (13/26416-9, 11/22639-8, 12/22160-7, 12/50986-7, 11/50761-2)

FONTANARI, JOSE F.; RODRIGUES, FRANCISCO A.. Influence of network topology on cooperative problem-solving systems. THEORY IN BIOSCIENCES, v. 135, n. 3, p. 10-pg., 2016-09-01. (13/26416-9, 13/17131-0)

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)