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arXiv · 1508.04102

On forced oscillations in groups of interacting nonlinear systems

Ivan Polekhin
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Abstract

Consider a periodically forced nonlinear system which can be presented as a collection of smaller subsystems with pairwise interactions between them. Each subsystem is assumed to be a massive point moving with friction on a compact surface, possibly with a boundary, in an external periodic field. We present sufficient conditions for the existence of a periodic solution for the whole system. The result is illustrated by a series of examples including a chain of strongly coupled pendulums in a periodic field.

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Ivan Polekhin. 2015-08-17. On forced oscillations in groups of interacting nonlinear systems. https://arxiv.org/abs/1508.04102

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