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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 2, Pages 213–218
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000143 (Mi rcd874) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the Accuracy of Persistence of Adiabatic Invariant in Single-frequency Systems

A. I. Neishtadt

Space Research Institute, The Russian Academy of Sciences, Profsoyuznaya Str. 84/32, 117810, Moscow, Russia
Citations (10)
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000143
Abstract: A modified method of A.A. Slutskin (1963) of analytical extension to the complex time plane of solutions of a single-frequency nonlinear Hamiltonian system with slowly varying parameters is considered. On the basis of this method a proof of the estimate for the accuracy of persistence of adiabatic invariant due to A.A. Slutskin is given for such systems.
Received: 17.11.1999
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C20, 70H05
Language: English
Citation: A. I. Neishtadt, “On the Accuracy of Persistence of Adiabatic Invariant in Single-frequency Systems”, Regul. Chaotic Dyn., 5:2 (2000), 213–218
Citation in format AMSBIB
\Bibitem{Nei00}
\by A. I. Neishtadt
\paper On the Accuracy of Persistence of Adiabatic Invariant in Single-frequency Systems
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 2
\pages 213--218
\mathnet{http://mi.mathnet.ru/rcd874}
\crossref{https://doi.org/10.1070/RD2000v005n02ABEH000143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1780712}
\zmath{https://zbmath.org/?q=an:1051.70008}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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