Bogolyubov averaging and normalization procedures in nonlinear mechanics. I

• Datum: 1994
• Hauptverfasser: Lopatin, A. K., Mitropolskiy, Yu. A., Лопатін, А. К., Митропольський, Ю. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5634
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We suggest a new method for asymptotic analysis of nonlinear dynamical systems based on group-the-oretic methods. On the basis of the Bogolyubov averaging method, we develop a new normalization procedure — “asymptotic decomposition.” We clarify the contribution of this procedure to the interpretatio...