A proof of Bertrand's theorem using the theory of isochronous potentials

Rafael Ortega; David Rojas

doi:10.1007/s10884-018-9676-9

A proof of Bertrand's theorem using the theory of isochronous potentials

Rafael Ortega, David Rojas

Departament de Matemàtiques

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3 Cites (Scopus)

Resum

We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.

Idioma original	Anglès
Pàgines (de-a)	2017-2028
Nombre de pàgines	12
Revista	Journal of Dynamics and Differential Equations
Volum	31
Número	4
DOIs	https://doi.org/10.1007/s10884-018-9676-9
Estat de la publicació	En premsa - 2018

Accés al document

10.1007/s10884-018-9676-9

https://ddd.uab.cat/record/199366

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title = "A proof of Bertrand's theorem using the theory of isochronous potentials",

abstract = "We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.",

keywords = "Bertrand's theorem, Isochronicity, Potential center",

author = "Rafael Ortega and David Rojas",

year = "2018",

doi = "10.1007/s10884-018-9676-9",

language = "English",

volume = "31",

pages = "2017--2028",

journal = "Journal of Dynamics and Differential Equations",

issn = "1040-7294",

publisher = "Springer New York",

number = "4",

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T1 - A proof of Bertrand's theorem using the theory of isochronous potentials

AU - Ortega, Rafael

AU - Rojas, David

PY - 2018

Y1 - 2018

N2 - We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.

AB - We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.

KW - Bertrand's theorem

KW - Isochronicity

KW - Potential center

U2 - 10.1007/s10884-018-9676-9

DO - 10.1007/s10884-018-9676-9

M3 - Article

SN - 1040-7294

VL - 31

SP - 2017

EP - 2028

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 4

ER -

A proof of Bertrand's theorem using the theory of isochronous potentials

Resum

Accés al document

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