Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839361 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 9 Pages |
Abstract
•We study periodically forced motion in groups of interacting systems.•We present sufficient conditions for the existence of a periodic solution.•The result is obtained as an application of a topological approach.
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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Authors
Ivan Polekhin,