Existence and stability of periodic solutions for chains of connected oscillators

• Date: 1997
• Main Authors: Maistrenko, Yu. L., Popovich, O. V., Майстренко, Ю. Л., Попович, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5085
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a nonlinear system of difference equations. This system corresponds to chains of N symmetrically connected oscillators with sufficiently general type of connection, which includes, among others, local and global connection. We prove a theorem on the existence and stability of space-time...