This article is cited in 12 papers

Continuous Averaging in Multi-frequency Slow-fast Systems

A. V. Pronin^a, D. V. Treschev<sup>b

a</sup> Moscow State University, Vorob'ievy Gory, V 10-50, Main Building, 119899, Moscow, Russia
^b Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia

Abstract: It is well-known that in real-analytic multi-frequency slow-fast ODE systems the dependence of the right-hand sides on fast angular variables can be reduced to an exponentially small order by a near-identical change of the variables. Realistic constructive estimates for the corresponding exponentially small terms are obtained.

MSC: 34C15, 34C20, 58F27, 70H05

Received: 12.12.1999

Language: English

DOI: 10.1070/RD2000v005n02ABEH000138

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