Synchronization in Networks with Nonlinearly Delayed Couplings on Example of Neural Mass Model
Adaptation and Self-Organizing Systems
2022-05-11 v1
Abstract
The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem of network synchronization is reduced to the studying of synchronization-error system stability. The circle criterion for time-delay systems is used to derive the stability conditions of synchronization-error system. Obtained results are applied to a network of neural mass model populations, and the synchronization conditions are established. Simulation results are provided to illustrate the obtained analytical results.
Cite
@article{arxiv.2205.04531,
title = {Synchronization in Networks with Nonlinearly Delayed Couplings on Example of Neural Mass Model},
author = {Sergei A. Plotnikov},
journal= {arXiv preprint arXiv:2205.04531},
year = {2022}
}
Comments
6 pages, 2 figures