| Full text | |
| Author(s): |
Corder, Rodrigo M.
;
Bian, Zheng
;
Pereira, Tiago
;
Montalban, Antonio
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Chaos; v. 33, n. 9, p. 8-pg., 2023-09-01. |
| Abstract | |
Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior, while others behave erratically. Predicting the emergence of these clusters and understanding the mechanism behind their structure and variation in response to a parameter change is a daunting task in networks that lack symmetry. We unravel the mechanism for the emergence of cluster synchronization in heterogeneous random networks. We develop heterogeneous mean-field approximation together with a self-consistent theory to determine the onset and stability of the cluster. Our analysis shows that cluster synchronization occurs in a wide variety of heterogeneous networks, node dynamics, and coupling functions. The results could lead to a new understanding of the dynamical behavior of networks ranging from neural to social. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 18/26107-0 - Dynamics of complex heterogeneous networks: reduction techniques |
| Grantee: | Zheng Bian |
| Support Opportunities: | Scholarships in Brazil - Doctorate |