Geodesic
Width of parametric resonance regions for equations on a torus
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 129-135.

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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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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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