Abstract
The dynamics of pendulum with support in a circular orbit is considered. There are two purposes for this study. One is to investigate the nonlinear behavior of a pendulum for different output feedback gains. The other is to investigate chaotic motion of a pendulum. The bifurcation theory and the concept of Poincare map are employed in this paper for illustrating stability as the parameters are changed. Hopf bifurcation is found to occur in our model. Numerical methods are used to obtain Poincare maps, bifurcation diagrams and chaos diagrams. When the system is perturbed by external excitations, numerical simulations show that the system exhibits chaos.
| Original language | English |
|---|---|
| Pages (from-to) | 219-228 |
| Number of pages | 10 |
| Journal | Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao |
| Volume | 14 |
| Issue number | 3 |
| State | Published - Jun 1993 |