Dynamical Processes on Ecological Networks

• Grant number: 18/15589-3
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Effective date (Start): November 15, 2018
• Effective date (End): November 14, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Thomas Kaue Dal Maso Peron
• Supervisor: Yamir Moreno Vega
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Research place: Universidad de Zaragoza, Spain
• Associated to the scholarship: 16/23827-6 - Analysis of epidemic and synchronization processes in complex networks, BP.PD

Abstract

This project is devoted to the investigation of important issues related to the structure and dynamics of ecological networks. More specifically, we will study the stability and feasibility ofbiodiversity patterns in terms of changes in environmental conditions and modifications in thenetwork topology behind competitive interactions. Furthermore, seeking to gain insights intothe stationary dynamics of ecological systems, we will generalize recent random matrix techniques so as to uncover the spectra of random network models able to mimic structural patternsobserved in real ecological networks. Finally, a long-standing question regarding the collectivedynamics of phase oscillators in networks is also addressed in this project; namely, whether thecritical coupling for the onset of synchronization remains finite in the thermodynamic limit ofscale-free networks. These investigations will complement the studies developed in the initialpost-doctorate project.

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)

PERON, THOMAS; EROGLU, DENIZ; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Collective dynamics of random Janus oscillator networks. PHYSICAL REVIEW RESEARCH, v. 2, n. 1, MAR 4 2020. (16/25682-5, 16/23827-6, 18/15589-3, 13/07375-0)

PERON, THOMAS; DE RESENDE, BRUNO MESSIAS F.; MATA, ANGELICA S.; RODRIGUES, FRANCISCO A.; MORENO, YAMIR. Onset of synchronization of Kuramoto oscillators in scale-free networks. Physical Review E, v. 100, n. 4, OCT 8 2019. (16/25682-5, 13/07375-0, 16/23827-6, 18/15589-3)