Invariant tori of locally Hamiltonian systems close to conditionally integrable systems

• Date: 2007
• Main Authors: Loveikin, Yu. V., Parasyuk, I. O., Ловейкін, Ю. В., Парасюк, І. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3292
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of perturbations of quasiperiodic motions in the class of locally Hamiltonian systems. By using methods of the KAM-theory, we prove a theorem on the existence of invariant tori of locally Hamiltonian systems close to conditionally integrable systems. On the basis of this theorem...