MULTIPERIODIC ORBITS IN A PENDULUM WITH A VERTICALLY OSCILLATING PIVOT

Authors
SMITH HJT BLACKBURN JA
Citation
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
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
50
Issue
1
Year of publication
1994
Pages
539 - 545
Database
ISI
SICI code
1063-651X(1994)50:1<539:MOIAPW>2.0.ZU;2-9
Abstract
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.