Hjt. Smith et Ja. Blackburn, MULTIPERIODIC ORBITS IN A PENDULUM WITH A VERTICALLY OSCILLATING PIVOT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(1), 1994, pp. 539-545
Some of the complex orbits of a pendulum whose point of suspension is
subjected to vertical oscillations are studied by means of an analog e
lectronic simulator. The efficacy of this approach to problems requiri
ng considerable interactive exploration of parameter-space is demonstr
ated for this system. In a number of cases, confirmation of the simula
tor results is provided by numerical integrations of the equations of
motion, together with analytic approximations. Some of the orbits have
also been observed directly on an experimental realization of the ver
tically oscillating pendulum.