Nonpolynomial vector fields under the Lotka-Volterra normal form
Mathematical Physics
2019-11-01 v1 Dynamical Systems
math.MP
Biological Physics
Abstract
We carry out the generalization of the Lotka-Volterra embedding to flows not explicitly recognizable under the Generalized Lotka-Volterra format. The procedure introduces appropiate auxiliary variables, and it is shown how, to a great extent, the final Lotka-Volterra system is independent of their specific definition. Conservation of the topological equivalence during the process is also demonstrated.
Cite
@article{arxiv.1910.01962,
title = {Nonpolynomial vector fields under the Lotka-Volterra normal form},
author = {Benito Hernández-Bermejo and V. Fairén},
journal= {arXiv preprint arXiv:1910.01962},
year = {2019}
}