On the instability of two entropic dynamical models
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 fi...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09600779_v91_n_p604_Henry |
| Aporte de: |
| id |
todo:paper_09600779_v91_n_p604_Henry |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_09600779_v91_n_p604_Henry2023-10-03T15:53:38Z On the instability of two entropic dynamical models Henry, G. Rodriguez, D. information geometry Riemannian manifolds statistical manifolds Mathematical techniques Dynamical model Geometry structure Information geometry Riemannian manifold Statistical manifolds Vector fields Geometry 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]. © 2016 Elsevier Ltd Fil:Henry, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rodriguez, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09600779_v91_n_p604_Henry |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
information geometry Riemannian manifolds statistical manifolds Mathematical techniques Dynamical model Geometry structure Information geometry Riemannian manifold Statistical manifolds Vector fields Geometry |
| spellingShingle |
information geometry Riemannian manifolds statistical manifolds Mathematical techniques Dynamical model Geometry structure Information geometry Riemannian manifold Statistical manifolds Vector fields Geometry Henry, G. Rodriguez, D. On the instability of two entropic dynamical models |
| topic_facet |
information geometry Riemannian manifolds statistical manifolds Mathematical techniques Dynamical model Geometry structure Information geometry Riemannian manifold Statistical manifolds Vector fields Geometry |
| description |
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]. © 2016 Elsevier Ltd |
| format |
JOUR |
| author |
Henry, G. Rodriguez, D. |
| author_facet |
Henry, G. Rodriguez, D. |
| author_sort |
Henry, G. |
| title |
On the instability of two entropic dynamical models |
| title_short |
On the instability of two entropic dynamical models |
| title_full |
On the instability of two entropic dynamical models |
| title_fullStr |
On the instability of two entropic dynamical models |
| title_full_unstemmed |
On the instability of two entropic dynamical models |
| title_sort |
on the instability of two entropic dynamical models |
| url |
http://hdl.handle.net/20.500.12110/paper_09600779_v91_n_p604_Henry |
| work_keys_str_mv |
AT henryg ontheinstabilityoftwoentropicdynamicalmodels AT rodriguezd ontheinstabilityoftwoentropicdynamicalmodels |
| _version_ |
1782028871307100160 |