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.
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Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7. pp. 943–950, July, 1997.
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Maistrenko, Y.L., Popovich, A.V. Existence and stability of periodic solutions for chains of connected oscillators. Ukr Math J 49, 1058–1066 (1997). https://doi.org/10.1007/BF02528751
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DOI: https://doi.org/10.1007/BF02528751