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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MAIS_2011_18_3_a2,
     author = {P. N. Nesterov},
     title = {On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {21--41},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a2/}
}
TY  - JOUR
AU  - P. N. Nesterov
TI  - On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2011
SP  - 21
EP  - 41
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a2/
LA  - ru
ID  - MAIS_2011_18_3_a2
ER  - 
%0 Journal Article
%A P. N. Nesterov
%T On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 21-41
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a2/
%G ru
%F MAIS_2011_18_3_a2
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/