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arXiv · 2510.09843

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system

Ana-Maria Boldeanu·Mircea Neagu
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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.

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Ana-Maria Boldeanu, Mircea Neagu. 2025-10-10. Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system. https://arxiv.org/abs/2510.09843

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