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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2510.09843 |
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| _version_ | 1866914087528562688 |
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| author | Boldeanu, Ana-Maria Neagu, Mircea |
| author_facet | Boldeanu, Ana-Maria Neagu, Mircea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09843 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system Boldeanu, Ana-Maria Neagu, Mircea Differential Geometry 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. |
| title | Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.09843 |