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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 322, Pages 206–232
DOI: https://doi.org/10.4213/tm4335 (Mi tm4335) 		 
On Isochronicity

D. V. Treschev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4335
Abstract: We obtain a complete set of explicit necessary and sufficient conditions for the isochronicity of a Hamiltonian system with one degree of freedom. The conditions are presented in terms of the Taylor coefficients of the Hamiltonian function and have the form of an infinite collection of polynomial equations.
Keywords: oscillations, isochronicity, superintegrability.
Funding agency Grant number
Russian Science Foundation 20-11-20141
This work was supported by the Russian Science Foundation under grant no. 20-11-20141, https://rscf.ru/en/project/20-11-20141/.
Received: October 20, 2022
Revised: March 31, 2023
Accepted: May 20, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 322, Pages 198–223
DOI: https://doi.org/10.1134/S008154382304017X
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: D. V. Treschev, “On Isochronicity”, Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, Steklov Math. Inst., Moscow, 2023, 206–232; Proc. Steklov Inst. Math., 322 (2023), 198–223
Citation in format AMSBIB
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\by D.~V.~Treschev
\paper On Isochronicity
\inbook Modern Methods of Mechanics
\bookinfo Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 322
\pages 206--232
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4335}
\crossref{https://doi.org/10.4213/tm4335}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4677606}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 322
\pages 198--223
\crossref{https://doi.org/10.1134/S008154382304017X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180237512}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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