Abstract:
Special systems of ordinary differential equations – the so called fully coupled networks of nonlinear oscillators – are considered. For this class of systems, methods for analyzing the existence and stability of solutions of the traveling wave type are proposed. A feature of the proposed methods is that they use auxiliary delay systems for finding periodic solutions and for analyzing their stability properties.
Key words:fully coupled networks of linear oscillators, traveling wave, delay system, asymptotic behavior, stability, buffering effect.
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