This article is cited in 3 papers

Width of parametric resonance regions for equations on a torus

S. Yu. Sadov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: 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.

UDC: 517.925.52

Received: 27.01.1997
Revised: 17.07.1997

DOI: 10.4213/mzm1378

 English version: Mathematical Notes, 1998, 64:1, 110–115

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