General method for the solution of some problems of stabilization and destabilization of motion

We demonstrate a complete mathematical analogy between the description of motion of an electron in a periodic field and the phenomenon of parametric resonance. A band approach to the analysis of the phenomenon of parametric resonance is formulated. For an oscillator under the action of an external f...

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Bibliographic Details
Date:2007
Main Authors: Baryakhtar, V. G., Samar, A. V., Барьяхтар, В. Г., Самар, А. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3300
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal