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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 2, Pages 123–131
DOI: https://doi.org/10.1134/S1560354722020010 (Mi rcd1156) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Alexey Borisov Memorial Volume

Isochronicity in 1 DOF

Dmitry V. Treschev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991 Moscow, Russia
Citations (3)
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DOI: https://doi.org/10.1134/S1560354722020010
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.
Keywords: isochronicity, superintegrability, normal forms, Hamiltonian dynamics.
Received: 22.12.2021
Accepted: 18.02.2022
Bibliographic databases:
Document Type: Article
MSC: 34C20, 37J35
Language: English
Citation: Dmitry V. Treschev, “Isochronicity in 1 DOF”, Regul. Chaotic Dyn., 27:2 (2022), 123–131
Citation in format AMSBIB
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\by Dmitry V. Treschev
\paper Isochronicity in 1 DOF
\jour Regul. Chaotic Dyn.
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\vol 27
\issue 2
\pages 123--131
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:41
     
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