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Matematicheskie Zametki, 2004, Volume 76, Issue 5, Pages 701–713
DOI: https://doi.org/10.4213/mzm140 (Mi mzm140) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator

S. Yu. Dobrokhotov, M. A. Poteryakhin

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Full-text PDF (588 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm140
Abstract: We study the problem of constructing a normal form near a two-dimensional invariant isotropic torus for a multidimensional anharmonic oscillator. We construct a fourth-order normal form with respect to harmonic oscillator type variables. We show that, in the presence of resonances, the dependence of the normal form on the action type variables becomes nonpolynomial.
Received: 25.09.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 5, Pages 653–664
DOI: https://doi.org/10.1023/B:MATN.0000049664.77226.52
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: S. Yu. Dobrokhotov, M. A. Poteryakhin, “Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator”, Mat. Zametki, 76:5 (2004), 701–713; Math. Notes, 76:5 (2004), 653–664
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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