FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 99-113

**Asymptotics for the solution of averaged equations for the system of
coupled oscillators**

L. A. Kalyakin

Yu. Yu. Bagderina

Abstract

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The equations obtained by averaging the system of three weakly
nonlinear oscillators are considered.
Distinctive properties of asymptotics at infinity for the solutions of
averaged equations for both constant and variable proper frequencies
are studied.

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Last modified: February 26, 2007