Analysis of a Parametrically Driven Pendulum
混沌动力学
2009-10-31 v1
摘要
We study in this paper the behavior of a periodically driven nonlinear mechanical system. Bifurcation diagrams are found which locate regions of quasiperiodic, periodic and chaotic behavior within the parameter space of the system. We also conduct a symbolic analysis of the model, which demonstrates that the symbolic dynamics of two-dimensional maps can be applied effectively to the study of ordinary differential equations in order to gain global knowledge about them.
引用
@article{arxiv.nlin/0011019,
title = {Analysis of a Parametrically Driven Pendulum},
author = {Randy Kobes and Junxian Liu and Slaven Peles},
journal= {arXiv preprint arXiv:nlin/0011019},
year = {2009}
}
备注
31 pages, 21 figures