This article is cited in 13 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

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.

MSC: 34C15, 34C20, 70H05

Received: 17.11.1999

Language: English

DOI: 10.1070/RD2000v005n02ABEH000143

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