| Full text | |
| Author(s): |
Bian, Zheng
;
Lamb, Jeroen S. W.
;
Pereira, Tiago
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 406, n. 7, p. 42-pg., 2025-07-01. |
| Abstract | |
We study a class of heterogeneous random networks, where the network degree distribution follows a power-law, and each node dynamics is a random dynamical system, interacting with neighboring nodes via a random coupling function. We characterize the hub behavior by the mean-field, subject to statistically controlled fluctuations. In particular, we prove that the fluctuations are small over exponentially long time scales and obtain Berry-Esseen estimates for the fluctuation statistics at any fixed time. Our results provide an explanation for several numerical observations, namely, a scaling relation between system size and frequency of large fluctuations, the system size induced desynchronization, and the Gaussian behavior of the fluctuations. (AU) | |
| FAPESP's process: | 21/11091-3 - Probabilistic reduction principle in complex network dynamics |
| Grantee: | Zheng Bian |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 18/26107-0 - Dynamics of complex heterogeneous networks: reduction techniques |
| Grantee: | Zheng Bian |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| 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 |