Normalization and averaging on compact lie groups in nonlinear mechanics

• Datum: 1997
• Hauptverfasser: Lopatin, A. K., Лопатін, А. К.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4986
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the method of normal forms, the Bogolyubov averaging method, and the method of asymptotic decomposition proposed by Yu. A. Mitropol’skii and the author of this paper. Under certain assumptions about group-theoretic properties of a system of zero approximation, the results obtained by the...