Generalizations and Applications of the Kuramoto model

• Grant number: 23/15644-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: June 01, 2024
• End date: May 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Aloizio Martinez de Aguiar
• Grantee: Marcus Aloizio Martinez de Aguiar
• Visiting researcher: Marcel Novaes
• Visiting researcher institution: Universidade Federal de Uberlândia (UFU). Instituto de Física, Brazil
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics, AP.ESP

Abstract

The Kuramoto model consists of a system of dynamic equations for coupled oscillators. Its most striking feature is the emergence of synchronization with increasing coupling constant, which makes this model one of the centerpiecesin mathematical modeling of phenomena involving synchronization, with applications ranging from neurology to ecology, including various areas of chemistry and physics. We intend to develop several generalizations of this model, making it more versatile and further expanding its range of applications. (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)

NOVAES, MARCEL; DE AGUIAR, MARCUS A. M.. Kuramoto variables as eigenvalues of unitary matrices. PHYSICAL REVIEW E, v. 110, n. 2, p. 6-pg., 2024-08-28. (23/15644-2, 21/14335-0)

COSTA, GUILHERME S.; NOVAES, MARCEL; DE AGUIAR, MARCUS A. M.. Bifurcations in the Kuramoto model with external forcing and higher-order interactions. Chaos, v. 34, n. 12, p. 11-pg., 2024-12-01. (21/14335-0, 23/15644-2, 23/03917-4)

COSTA, GUILHERME S.; NOVAES, MARCEL; DE AGUIAR, MARCUS A. M.. Exact solutions of the Kuramoto model with asymmetric higher order interactions of arbitrary order. CHAOS SOLITONS & FRACTALS, v. 195, p. 6-pg., 2025-03-13. (21/14335-0, 23/15644-2, 23/03917-4)