Existence and stability of periodic solutions for chains of connected oscillators
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 7, pp 1058-1066.
Citation Example: Maistrenko Yu. L., Popovich O. V. Existence and stability of periodic solutions for chains of connected oscillators // Ukr. Mat. Zh. - 1997. - 49, № 7. - pp. 943–950.