Dynamic behavior of a weightless rod with a point mass sliding along the rod
axis according to periodic law is studied. This is the simplest model of
child's swing. Melnikov's analysis is carried out to find bifurcations of
homoclinic, subharmonic oscillatory, and subharmonic rotational orbits. For the
analysis of superharmonic rotational orbits the averaging method is used and
stability of obtained approximate solution is checked. The analytical results
are compared with numerical simulation results.Comment: 9 pages, 6 figure
