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Corpus ID: 119144854

A new perspective on the Kosambi-Cartan-Chern theory, and its applications

@article{Harko2015ANP,
title={A new perspective on the Kosambi-Cartan-Chern theory, and its applications},
author={Tiberiu Harko and Praiboon Pantaragphong and Sorin V. Sabau},
journal={arXiv: Differential Geometry},
year={2015}
}

A powerful mathematical method for the investigation of the properties of dynamical systems is represented by the Kosambi-Cartan-Chern (KCC) theory. In this approach the time evolution of a dynamical system is described in geometric terms, treating the solution curves of a dynamical system by geometrical methods inspired by the geodesics theory of Finsler spaces. In order to geometrize the dynamical evolution one introduces a non-linear and a Berwald type connection, respectively, and thus the… Expand

We study the stability of the cosmological scalar field models by using the Jacobi stability analysis, or the Kosambi-Cartan-Chern (KCC) theory. In this approach, we describe the time evolution of… Expand

We numerically solve the equations of motion (EOM) for two models of circular cosmic string loops with windings in a simply connected internal space. Since the windings cannot be topologically… Expand

Preface. 1. The geometry of tangent bundle. 2. Finsler spaces. 3. Lagrange spaces. 4. The geometry of cotangent bundle. 5. Hamilton spaces. 6. Cartan spaces. 7. The duality between Lagrange and… Expand