2017
Том 69
№ 5

All Issues

Existence and stability of periodic solutions for chains of connected oscillators

Maistrenko Yu. L., Popovich O. V.

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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.

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.

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