| Full text | |
| Author(s): |
Novaes, Marcel
;
de Aguiar, Marcus A. M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 110, n. 2, p. 6-pg., 2024-08-28. |
| Abstract | |
We generalize the Kuramoto model by interpreting the N variables on the unit circle as eigenvalues of a N-dimensional unitary matrix U in three versions: general unitary, symmetric unitary, and special orthogonal. The time evolution is generated by N2 coupled differential equations for the matrix elements of U, and synchronization happens when U evolves into a multiple of the identity. The Ott-Antonsen ansatz is related to the Poisson kernels that are so useful in quantum transport, and we prove it in the case of identical natural frequencies. When the coupling constant is a matrix, we find some surprising new dynamical behaviors. (AU) | |
| FAPESP's process: | 23/15644-2 - Generalizations and Applications of the Kuramoto model |
| Grantee: | Marcus Aloizio Martinez de Aguiar |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |