Classification of 3-Node Restricted Excitatory-Inhibitory Networks
Abstract
We classify connected 3-node restricted excitatory-inhibitory networks, extending our previous paper (`Classification of 2-node Excitatory-Inhibitory Networks', Mathematical Biosciences 373 (2024) 109205). We assume that there are two node-types and two arrow-types, excitatory and inhibitory; all excitatory arrows are identical and all inhibitory arrows are identical; and excitatory (resp. inhibitory) nodes can only output excitatory (resp. inhibitory) arrows. The classification is performed under the following two network perspectives: ODE-equivalence and minimality; and valence less or equal to 2. The results of this and the previous work constitute a first step towards analysing dynamics and bifurcations of excitatory-inhibitory networks and have potential applications to biological network models.
Cite
@article{arxiv.2406.17359,
title = {Classification of 3-Node Restricted Excitatory-Inhibitory Networks},
author = {Manuela Aguiar and Ana Dias and Ian Stewart},
journal= {arXiv preprint arXiv:2406.17359},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2403.02869