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

Abstract

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)

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, JUN 10 2016. (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, JAN 26 2016. (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, OCT 13 2016. (13/26416-9, 15/02486-3, 12/22160-7)