Study of phase synchronization in oscillators networks and applications to informa...
Synchronization of frustrated Kuramoto oscillators on modular networks
Study of collective phenomena in physical and biological systems
| Full text | |
| Author(s): |
Mihara, Antonio
;
Kuwana, Celia M.
;
Budzinski, Roberto C.
;
Muller, Lyle E.
;
Medrano-T, Rene O.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Chaos; v. 35, n. 3, p. 12-pg., 2025-03-01. |
| Abstract | |
We study a network of identical Kuramoto oscillators with higher-order interactions that also break the rotational symmetry of the system. To gain analytical insights into this model, we use the Watanabe-Strogatz Ansatz, which allows us to reduce the dimensionality of the original system of equations. The study of stability and bifurcations of the reduced system reveals a codimension two Bogdanov-Takens bifurcation and several other associated bifurcations. Such analysis is corroborated by numerical simulations of the associated Kuramoto system, which, in turn, unveils a variety of collective behaviors such as synchronized motion, oscillation death, chimeras, incoherent states, and traveling waves. Importantly, this system displays a case where alternating chimeras emerge in an indistinguishable single population of oscillators, which may offer insights into the unihemispheric slow-wave sleep phenomenon observed in mammals and birds. (AU) | |
| FAPESP's process: | 24/06718-5 - Basins of Attraction: From unidimensional maps to complex networks |
| Grantee: | Rene Orlando Medrano Torricos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 23/08144-3 - Aspects of the dynamics of oscillator networks |
| Grantee: | Antonio Mihara |
| Support Opportunities: | Regular Research Grants |