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Modelling of dynamical processes in complex networks

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)

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VEICULO: TITULO (DATA)

Scientific publications (23)
(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)
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, . (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, . (15/22308-2, 16/23827-6, 18/09125-4, 13/26416-9, 12/51301-8, 12/25219-2)
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, . (12/22160-7, 13/26416-9, 15/02486-3)
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, . (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, . (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, . (13/26416-9, 13/03898-8, 11/50761-2)
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, . (13/26416-9, 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, . (12/22160-7, 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, . (13/26416-9, 11/22639-8, 12/22160-7, 12/50986-7, 11/50761-2)
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, . (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, . (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, . (11/50761-2, 13/26416-9, 12/17961-0)
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, . (13/26416-9, 13/17131-0)
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, . (12/22160-7, 13/26416-9)
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, . (12/22160-7, 13/26416-9, 11/50761-2)
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, . (12/22160-7, 13/26416-9, 11/50761-2)
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, . (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, . (13/26416-9, 11/22639-8, 12/22160-7, 12/50986-7, 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, . (13/26416-9, 11/50761-2, 12/25219-2)
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, . (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, . (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, . (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, . (13/26416-9, 12/25219-2)

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