Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements
Pattern Formation and Solitons
2025-12-10 v1
Abstract
In this article the generalized Lotka-Volterra model of ensemble of four excitory or inhibitory coupled elements are studied. It is shown that in the phase space of the model there exist heteroclinic network: a connected union of two or more heteroclinic cycles. A partition of the plane of coupling parameters into sets of existence of various heteroclinic networks is constructed.
Cite
@article{arxiv.2512.08338,
title = {Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements},
author = {Alexander Korotkov and Ekaterina Syundyukova and Elena Gubina and Grigory Osipov},
journal= {arXiv preprint arXiv:2512.08338},
year = {2025}
}