Jacobi Stability Analysis for Systems of ODEs Using Symbolic Computation

Autor: Huang, Bo, Wang, Dongming, Yang, Jing

The classical theory of Kosambi-Cartan-Chern (KCC) developed in differential geometry provides a powerful method for analyzing the behaviors of dynamical systems. In the KCC theory, the properties of a dynamical system are described in terms of five

Externí odkaz: http://arxiv.org/abs/2405.10578

Jacobi Stability for T-System.

Autor: Munteanu, Florian¹ (AUTHOR) florian.munteanu@edu.ucv.ro

Publikováno v: Symmetry (20738994). Jan2024, Vol. 16 Issue 1, p84. 16p.

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

Autor: Neagu, Mircea, Ovsiyuk, Elena

Publikováno v: Proc. of the XVI-th Internat. Virtual Res.-to-Pract. Conf. Innov. Techn. for Teach. Phys., Math. and Vocat. Discipl, pp. 229-231; Mozyr State Pedagogical University named after I.P. Shamyakin, Belarus (2024)

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

Externí odkaz: http://arxiv.org/abs/2401.06695

On the Jacobi Stability of Two SIR Epidemic Patterns with Demography.

Autor: Munteanu, Florian¹ (AUTHOR) florian.munteanu@edu.ucv.ro

Publikováno v: Symmetry (20738994). May2023, Vol. 15 Issue 5, p1110. 30p.

Jacobi Stability Analysis of Liu System: Detecting Chaos

Autor: Qinghui Liu, Xin Zhang

Publikováno v: Mathematics, Vol 12, Iss 13, p 1981 (2024)

By utilizing the Kosambi–Cartan–Chern (KCC) geometric theory, this paper is dedicated to providing novel insights into the Liu dynamical system, which stands out as one of the most distinctive and noteworthy nonlinear dynamical systems. Firstly,

Externí odkaz: https://doaj.org/article/8c79496c120844c9ab1a80ac0e5bcec1