A proof of Bertrand's theorem using the theory of isochronous potentials
Ortega, Rafael (Universidad de Granada. Departamento de Matemática Aplicada)
Rojas, David (Universidad de Granada. Departamento de Matemática Aplicada)

Date:	2018
Abstract:	We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.
Grants:	Ministerio de Economía y Competitividad MTM2017-86795-C3-1-P Ministerio de Economía y Competitividad MTM2017-82348-C2-1-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bertrand's theorem ; Isochronicity ; Potential center
Published in:	Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2017-2028, ISSN 1572-9222

DOI: 10.1007/s10884-018-9676-9

Postprint 10 p, 362.5 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles