On forced oscillations in groups of interacting nonlinear systems
Dynamical Systems
2015-09-25 v3 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1508.04102,
title = {On forced oscillations in groups of interacting nonlinear systems},
author = {Ivan Polekhin},
journal= {arXiv preprint arXiv:1508.04102},
year = {2015}
}
Comments
v3: 10 pages, 5 figures