Complicated regular and chaotic motions of the parametrically excited pendulum

Eugene I. Butikov

Research outputpeer-review

Abstract

Several new types of regular and chaotic behavior of the parametrically driven pendulum are discovered with the help of computer simulations. A simple physical explanation is suggested to the phenomenon of subharmonic resonances. The boundaries of these resonances in the parameter space and the spectral composition of corresponding stationary oscillations are determined theoretically and verified experimentally. A close relationship between the upper limit of stability of the dynamically stabilized inverted pendulum and parametric resonance of the non-inverted pendulum is established. Most of the newly discovered modes are still waiting a plausible physical explanation.

Original languageEnglish
Title of host publicationProc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005
Subtitle of host publication5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Pages743-764
Number of pages22
Publication statusPublished - 1 Dec 2005
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA
Duration: 24 Sep 200528 Sep 2005

Publication series

NameProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
Volume6 B

Conference

ConferenceDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityLong Beach, CA
Period24/09/0528/09/05

Scopus subject areas

  • Engineering(all)

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