Perturbed damped pendulum: finding periodic solutions
Dynamical Systems
2014-05-20 v2
Abstract
Using the damped pendulum system we introduce the averaging method to study the periodic solutions of a dynamical system with small perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non--linear perturbed damped pendulum. The averaging theory provides a useful means to study dynamical systems, accessible to Master and PhD students.
Cite
@article{arxiv.1112.2129,
title = {Perturbed damped pendulum: finding periodic solutions},
author = {Douglas Duarte Novaes},
journal= {arXiv preprint arXiv:1112.2129},
year = {2014}
}