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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. стр. 743-764 (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; Том 6 B).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование

Harvard

Butikov, EI 2005, Complicated regular and chaotic motions of the parametrically excited pendulum. в 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, Том. 6 B, стр. 743-764, DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA, Соединенные Штаты Америки, 24/09/05.

APA

Butikov, E. I. (2005). Complicated regular and chaotic motions of the parametrically excited pendulum. в 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 (стр. 743-764). (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; Том 6 B).

Vancouver

Butikov EI. Complicated regular and chaotic motions of the parametrically excited pendulum. в 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. стр. 743-764. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005).

Author

Butikov, Eugene I. / Complicated regular and chaotic motions of the parametrically excited pendulum. 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. стр. 743-764 (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005).

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 -

ID: 51954055