Bogolyubov averaging and normalization procedures in nonlinear mechanics. III

• Date: 1994
• Main Authors: Lopatin, A. K., Mitropolskiy, Yu. A., Лопатін, А. К., Митропольський, Ю. О.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5574
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We describe the technique of normalization based on the method of asymptotic decomposition in the space of representation of a finite-dimensional Lie group. The main topics of the theory necessary for understanding the method are outlined. Models based on the Van der Pol equation are investigated by...