Generalized Kuramoto oscillators with external forces

• Grant number: 19/24068-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date until: April 01, 2020
• End date until: August 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Aloizio Martinez de Aguiar
• Grantee: Ana Elisa Dellamatrice Barioni
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics, AP.ESP
• Associated scholarship(s): 21/09345-7 - Synchronization of generalized Kuramoto oscillators, BE.EP.MS

Abstract

Kuramoto's model is a paradigm in the study of synchronization. In its original version the model consists of a set of oscillators with different natural frequencies which, when coupledconveniently, oscillate in sync. Recently the model has been generalized to describe oscillators in more dimensions and it was shown that, contrary to the original model, the transition from disordered to synchronized phase is first order in odd dimensions. In this project we will study thethree-dimensional Kuramoto system subjected to a time periodic external force. The motivation for the work is the study of the response of neural networks to external stimuli. The Forced Kuramotoproblem was solved in two dimensions (original model) and showed several bifurcations betweendistinct phases in the parameter space. We want to extend the calculation to 3D and understand therole of first order transition in the dynamics. (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)

BARIONI, ANA ELISA D.; DE AGUIAR, MARCUS A. M.. Complexity reduction in the 3D Kuramoto model. CHAOS SOLITONS & FRACTALS, v. 149, AUG 2021. (19/24068-0, 16/01343-7, 19/20271-5)

BUZANELLO, GUILHERMO L.; BARIONI, ANA ELISA D.; DE AGUIAR, MARCUS A. M.. Matrix coupling and generalized frustration in Kuramoto oscillators. Chaos, v. 32, n. 9, p. 8-pg., 2022-09-01. (21/10709-3, 19/24068-0)

BARIONI, ANA ELISA D.; DE AGUIAR, MARCUS A. M.. Ott-Antonsen ansatz for the D-dimensional Kuramoto model: A constructive approach. Chaos, v. 31, n. 11, NOV 2021. (16/01343-7, 19/20271-5, 19/24068-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

BARIONI, Ana Elisa Dellamatrice. Osciladores generalizados de Kuramoto com forças externas. 2022. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.