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Matematicheskie Zametki, 1998, Volume 64, Issue 1, Pages 129–135
DOI: https://doi.org/10.4213/mzm1378 (Mi mzm1378) 		 
This article is cited in 3 scientific papers (total 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
Full-text PDF (195 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1378
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.
Received: 27.01.1997
Revised: 17.07.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 1, Pages 110–115
DOI: https://doi.org/10.1007/BF02307201
Bibliographic databases:
UDC: 517.925.52
Language: Russian
Citation: S. Yu. Sadov, “Width of parametric resonance regions for equations on a torus”, Mat. Zametki, 64:1 (1998), 129–135; Math. Notes, 64:1 (1998), 110–115
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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