Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
Differential Geometry
2025-10-14 v1
Abstract
The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a Lotka-Volterra dynamical system, a simple model of the population dynamics of species competing for some common resource. From a geometrical point of view, the Jacobi stability of this system is discussed.
Cite
@article{arxiv.2510.09843,
title = {Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system},
author = {Ana-Maria Boldeanu and Mircea Neagu},
journal= {arXiv preprint arXiv:2510.09843},
year = {2025}
}