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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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  • 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:
    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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    Full-text PDF :202
    References:59
    First page:1
     
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