Analysis of a parametrically driven pendulum.
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.
Kobes
R
R
Department of Physics, University of Winnipeg, Winnipeg, Manitoba, Canada R3B 2E9. randy@theory.uwinnipeg.ca
Liu
J
J
Peles
S
S