On a Common Derivation of the Averaging Method and the Two-Timescale Method

Details On a Common Derivation of the Averaging Method and the Two-Timescale Method On a Common Derivation of the Averaging Method and the Two-Timescale Method

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17..299s&link_type=abstract

Celestial Mechanics, Volume 17, Issue 3, pp.299-311

Computer Science

2

Scientific paper

In this paper it is shown that the well-known averaging method (of Krylov, Bogoliubov-Mitropolski) and the two-timescale method, applied to periodic first-order ordinary differential equations, can be derived from one common principle, as two more or less complementary special cases. The uniformity of this treatment includes the proof of asymptotic convergence of both methods, since a single proof can be given under certain hypotheses, which are verifieda posteriori in both cases.

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