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A Proof of Bertrand’s Theorem Using the Theory of Isochronous Potentials

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Abstract

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

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain

    Rafael Ortega & David Rojas

Authors
  1. Rafael Ortega
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  2. David Rojas
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Correspondence to David Rojas.

Additional information

All the authors are partially supported by the MINECO/FEDER grant MTM2017-82348-C2-1-P. D. Rojas is also partially supported by the MINECO/FEDER grant MTM2017-86795-C3-1-P.

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Ortega, R., Rojas, D. A Proof of Bertrand’s Theorem Using the Theory of Isochronous Potentials. J Dyn Diff Equat 31, 2017–2028 (2019). https://doi.org/10.1007/s10884-018-9676-9

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  • DOI: https://doi.org/10.1007/s10884-018-9676-9

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