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

• Datum: 2007
• Hauptverfasser: Baryakhtar, V. G., Samar, A. V., Барьяхтар, В. Г., Самар, А. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3300
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...