On Preservation of the Invariant torus for Multifrequency Systems

• Datum: 2013
• Hauptverfasser: Perestyuk, N. A., Feketa, P. V., Перестюк, М. О., Фекета, П. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2529
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish new conditions for the preservation of an asymptotically stable invariant toroidal manifold of the linear extension of a dynamical system on a torus under small perturbations in a set of nonwandering points. The proposed approach is applied to the investigation of the existence and stab...