Existence and stability of periodic solutions for chains of connected oscillators

Authors

  • Yu. L. Maistrenko
  • O. V. Popovich

Abstract

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 periodic solutions of such systems for sufficiently small values of the parameter of connection ɛ.

Published

25.07.1997

Issue

Section

Research articles

How to Cite

Maistrenko, Yu. L., and O. V. Popovich. “Existence and Stability of Periodic Solutions for Chains of Connected Oscillators”. Ukrains’kyi Matematychnyi Zhurnal, vol. 49, no. 7, July 1997, pp. 943–950, https://umj.imath.kiev.ua/index.php/umj/article/view/5085.