On Preservation of the Invariant torus for Multifrequency Systems

• Дата: 2013
• Автори: Perestyuk, N. A., Feketa, P. V., Перестюк, М. О., Фекета, П. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: 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...