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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