New methods for the investigation of periodic solutions in ring systems of unidirectionally coupled oscillators

• Date: 2013
• Main Authors: Kolesov, A. Yu., Rozov, N. Kh., Колесов, А. Ю., Розов, Н. Х.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2406
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider special systems of ordinary differential equations, namely, ring systems of unidirectionally coupled oscillators. A new method is developed for the investigation of the problem of the existence and stability of periodic solutions for this class of systems. The specific feature of this ap...