On the instability of two entropic dynamical models. (October 2016)

• Record Type: Journal Article
• Authors: Henry, Guillermo; Rodriguez, Daniela
• Is Part Of: Chaos, solitons and fractals. Volume 91(2016)
• Page Start: 604
• Page End: 609
• Publication Date: 2016-10
• Subjects: information geometry -- statistical manifolds -- Riemannian manifolds; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2016.08.013
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this paper we study two entropic dynamical models from the viewpoint of information geometry. We study the geometry structures of the associated statistical manifolds. In order to analyse the character of the instability of the systems, we obtain their geodesics and compute their Jacobi vector fields. The results of this work improve and extend a recent advance in this topics studied in Peng et al.[13].