Geodesic
On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 21-41.

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In this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slowly decreasing coupling and friction in one of the oscillators.
Keywords: oscillatory decreasing coefficients, critical solutions, method of averaging, asymptotics, coupled oscillators. 
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P. N. Nesterov. On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 21-41. http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a2/

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