Geodesic
Width of parametric resonance regions for equations on a torus
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 129-135 
S. Yu. Sadov. Width of parametric resonance regions for equations on a torus. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 129-135. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a12/
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     title = {Width of parametric resonance regions for equations on a torus},
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     volume = {64},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We present new proofs of the theorem on the width of the forbidden regions for the Hill equation with a small potential and the theorem on the width of the parametric resonance regions for a first-order differential equation on a torus. These results are special cases of the theorem proved in this paper by the normal form method.

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