Rank of Stably Dissipative Graphs
Dynamical Systems
2017-12-12 v3 Classical Analysis and ODEs
Combinatorics
Abstract
For the class of stably dissipative Lotka-Volterra systems we prove that the rank of its defining matrix, which is the dimension of the associated invariant foliation, is completely determined by the system's graph.
Keywords
Cite
@article{arxiv.1104.0600,
title = {Rank of Stably Dissipative Graphs},
author = {Pedro Duarte and Telmo Peixe},
journal= {arXiv preprint arXiv:1104.0600},
year = {2017}
}