Fourier analysis of a delayed Rulkov neuron network
Adaptation and Self-Organizing Systems
2019-05-01 v1 Biological Physics
Abstract
We have analyzed the synchronization of a small-world network of chaotic Rulkov neurons with an electrical coupling that contains a delay. We have developed an algorithm to compute a certain delay whose result is to improve the synchronization of the network when it was slightly synchronized, or to get synchronized when it was desynchronized. Our general approach has been to use tools from signal analysis, such as Fourier and wavelet transforms. With these tools, we have characterized the behavior of the neurons for different parameters in frequency and time-frequency domains. Finally, the robustness of the algorithm has been tested by using non-homogeneous neurons affected with a parametric noise.
Keywords
Cite
@article{arxiv.1901.01184,
title = {Fourier analysis of a delayed Rulkov neuron network},
author = {Roberto Lozano and Javier Used and Miguel A. F. Sanjuán},
journal= {arXiv preprint arXiv:1901.01184},
year = {2019}
}