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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 74–82
DOI: https://doi.org/10.4213/tmf1833 (Mi tmf1833) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Resonance Capture in a Nonlinear System

L. A. Kalyakin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (218 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1833
Abstract: We investigate a system of six nonlinear nonautonomous differential equations resulting from averaging fast driven oscillations and construct resonant asymptotic solutions with a linear time increase of amplitudes.
Keywords: nonlinear equations, asymptotic expansions, resonance, WKB approximation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 944–951
DOI: https://doi.org/10.1007/s11232-005-0121-y
Bibliographic databases:
Language: Russian
Citation: L. A. Kalyakin, “Resonance Capture in a Nonlinear System”, TMF, 144:1 (2005), 74–82; Theoret. and Math. Phys., 144:1 (2005), 944–951
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf1833
  • https://doi.org/10.4213/tmf1833
  • https://www.mathnet.ru/eng/tmf/v144/i1/p74
    • This publication is cited in the following 3 articles:
    1. L. A. Kalyakin, “Resonance capture in a system of two oscillators near equilibrium”, Theoret. and Math. Phys., 194:3 (2018), 331–346  mathnet  crossref  crossref  mathscinet  isi  elib
    2. L. A. Kalyakin, “Asymptotic analysis of autoresonance models”, Russian Math. Surveys, 63:5 (2008), 791–857  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “The autoresonance threshold in a system of weakly coupled oscillators”, Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S111–S123  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:407
    Full-text PDF :214
    References:65
    First page:1
     
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