A note on the Jacobi stability of dynamical systems via Lagrange geometry and KCC theory

Fuente: arXiv
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Autores principales: Neagu, Mircea, Ovsiyuk, Elena
Formato: Preprint
Publicado: 2023
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author Neagu, Mircea
Ovsiyuk, Elena
author_facet Neagu, Mircea
Ovsiyuk, Elena
contents In this paper, via the least squares variational method, we develop the Lagrange geometry (in the sense of nonlinear connection, d-torsions and the deviation curvature tensor) and the KCC theory for a given dynamical system. Further, a result on the Jacobi stability of the solutions of this dynamical system is also obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06695
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A note on the Jacobi stability of dynamical systems via Lagrange geometry and KCC theory
Neagu, Mircea
Ovsiyuk, Elena
Dynamical Systems
37J06, 70H40
In this paper, via the least squares variational method, we develop the Lagrange geometry (in the sense of nonlinear connection, d-torsions and the deviation curvature tensor) and the KCC theory for a given dynamical system. Further, a result on the Jacobi stability of the solutions of this dynamical system is also obtained.
title A note on the Jacobi stability of dynamical systems via Lagrange geometry and KCC theory
topic Dynamical Systems
37J06, 70H40
url https://arxiv.org/abs/2401.06695