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Synchronization of Kuramoto oscillators in complex networks

Grant number: 15/02486-3
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): April 20, 2015
Effective date (End): January 20, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Francisco Aparecido Rodrigues
Grantee:Thomas Kaue Dal Maso Peron
Supervisor: Jürgen Kurths
Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Potsdam Institute for Climate Impact Research, Germany  
Associated to the scholarship:12/22160-7 - Synchronization of Kuramoto Oscillators in Complex Networks, BP.DR


In this project we analyse important open issues regarding the synchronization of Kuramoto oscillators in complex networks. More precisely, we will study the synchronization of networks that have topological structure similar as observed in real networks. By developing mean-field approximation in these systems, we aim at quantifying the contribution of particular patterns of connections to the synchronization of real-world networks. Another problem we tackle in this project is the recently reported phenomenon of explosive synchronization. We plan to investigate the critical correlation between intrinsic dynamics and local topology necessary for the emergence of discontinuous transitions in scale-free networks. In this project we will also address the synchronization of stochastic Kuramoto oscillators using the closure scheme provided by the Gaussian approximation. These investigations will complement the studies developed in the initial doctorate project. (AU)

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Scientific publications
(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)
SCHULTZ, PAUL; PERON, THOMAS; EROGLU, DENIZ; STEMLER, THOMAS; AVILA, GONZALO MARCELO RAMIREZ; RODRIGUES, FRANCISCO A.; KURTHS, JURGEN. Tweaking synchronization by connectivity modifications. Physical Review E, v. 93, n. 6, . (12/22160-7, 15/02486-3)
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)

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