Self-induced synchronization by strong delay in complex networks

• Grant number: 17/21896-3
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: November 13, 2017
• End date: May 12, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Tiago Pereira da Silva
• Grantee: Camille Poignard
• Supervisor: Dmitry Turaev
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Imperial College London, England
• Associated to the scholarship: 16/10801-9 - Effects of structural changes for the operation of complex networks, BP.PD

Abstract

The main goal of the present project is to investigate the effects of large delay on the synchronization of delay coupled networks: very few results have been rigorously proved in this direction. Moreover, most efforts in the field have tackled the case when the synchronized dynamics does not depend on the delay. In this project, we will tackle the case where the delay influences the synchronous dynamics, which is a typical situation for coupled lasers. This direction constitutes the continuation of our first project on the links between the structure of a network and its synchronization. Our goal in a long term is to tackle these similar questions of the effects of structural perturbations on the dynamics in this delay setting. (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)

POIGNARD, CAMILLE. elf-induced synchronization by large dela. Journal of Differential Equations, v. 310, p. 555-601, FEB 15 2022. (17/21896-3)