Standard
Complicated regular and chaotic motions of the parametrically excited pendulum. / Butikov, Eugene I.
Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. 2005. p. 743-764 (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; Vol. 6 B).
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Harvard
Butikov, EI 2005,
Complicated regular and chaotic motions of the parametrically excited pendulum. in
Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, vol. 6 B, pp. 743-764, DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA, United States,
24/09/05.
APA
Butikov, E. I. (2005).
Complicated regular and chaotic motions of the parametrically excited pendulum. In
Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (pp. 743-764). (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; Vol. 6 B).
Vancouver
Butikov EI.
Complicated regular and chaotic motions of the parametrically excited pendulum. In Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. 2005. p. 743-764. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005).
Author
BibTeX
@inproceedings{49cd5a281d66469b873ed935445b8bf6,
title = "Complicated regular and chaotic motions of the parametrically excited pendulum",
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.",
author = "Butikov, {Eugene I.}",
year = "2005",
month = dec,
day = "1",
language = "English",
isbn = "0791847438",
series = "Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005",
pages = "743--764",
booktitle = "Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005",
note = "DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference ; Conference date: 24-09-2005 Through 28-09-2005",
}
RIS
TY - GEN
T1 - Complicated regular and chaotic motions of the parametrically excited pendulum
AU - Butikov, Eugene I.
PY - 2005/12/1
Y1 - 2005/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33244477431&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:33244477431
SN - 0791847438
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
SP - 743
EP - 764
BT - Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005
T2 - DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Y2 - 24 September 2005 through 28 September 2005
ER -
