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Generalizations and Applications of the Kuramoto model

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
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Scientific publications (4)
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
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., . (21/14335-0, 23/15644-2, 23/03917-4)
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., . (21/14335-0, 23/15644-2, 23/03917-4)
COSTA, GUILHERME S.; NOVAES, MARCEL; FARIELLO, RICARDO; DE AGUIAR, MARCUS A. M.. Synchronization of identical oscillators on a sphere: Exact results with external forces and higher-order interactions. PHYSICAL REVIEW E, v. 112, n. 5, p. 12-pg., . (23/15644-2, 13/08293-7, 19/17874-0, 23/03917-4, 21/14335-0)
NOVAES, MARCEL; DE AGUIAR, MARCUS A. M.. Kuramoto variables as eigenvalues of unitary matrices. PHYSICAL REVIEW E, v. 110, n. 2, p. 6-pg., . (23/15644-2, 21/14335-0)