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Isochronicity in 1 DOF

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Abstract

Our main result is the complete set of explicit conditions necessary and sufficient for isochronicity of a Hamiltonian system with one degree of freedom. The conditions are presented in terms of Taylor coefficients of the Hamiltonian function.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russia

    Dmitry V. Treschev

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  1. Dmitry V. Treschev
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Correspondence to Dmitry V. Treschev.

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MSC2010

34C20, 37J35

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Treschev, D.V. Isochronicity in 1 DOF. Regul. Chaot. Dyn. 27, 123–131 (2022). https://doi.org/10.1134/S1560354722020010

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  • DOI: https://doi.org/10.1134/S1560354722020010

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