REGULAR AND CHAOTIC DYNAMICS OF THE SWING
Alexander Seyranian, Anton Belyakov, Angelo Luongo
Dynamic behavior of 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. Asymptotic boundaries of
stability domains are derived near resonance frequencies. Regular
and chaotic motions of the swing under change of problem
parameters are found and investigated both analytically and
numerically.