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On the dynamic stabilization of an inverted pendulum. / Butikov, Eugene I.

In: American Journal of Physics, Vol. 69, No. 7, 01.07.2001, p. 755-768.

Research output: Contribution to journal › Article › peer-review

Harvard

Butikov, EI 2001, 'On the dynamic stabilization of an inverted pendulum', American Journal of Physics, vol. 69, no. 7, pp. 755-768. https://doi.org/10.1119/1.1365403

APA

Butikov, E. I. (2001). On the dynamic stabilization of an inverted pendulum. American Journal of Physics, 69(7), 755-768. https://doi.org/10.1119/1.1365403

Vancouver

Butikov EI. On the dynamic stabilization of an inverted pendulum. American Journal of Physics. 2001 Jul 1;69(7):755-768. https://doi.org/10.1119/1.1365403

Author

Butikov, Eugene I. / On the dynamic stabilization of an inverted pendulum. In: American Journal of Physics. 2001 ; Vol. 69, No. 7. pp. 755-768.

BibTeX

@article{61d54f3121af40d9a7fb4070cc281c64,
title = "On the dynamic stabilization of an inverted pendulum",
abstract = "A simple qualitative physical explanation is suggested for the phenomenon of dynamic stabilization of the inverted rigid planar pendulum whose pivot is constrained to oscillate with a high frequency in the vertical direction. A quantitative theory based on the suggested approach is developed. A computer program simulating the physical system supports the analytical investigation. The simulation reveals subtle details of the motion and aids the analytical study of the subject in a manner that is mutually reinforcing.",
author = "Butikov, {Eugene I.}",
year = "2001",
month = jul,
day = "1",
doi = "10.1119/1.1365403",
language = "English",
volume = "69",
pages = "755--768",
journal = "American Journal of Physics",
issn = "0002-9505",
publisher = "American Association of Physics Teachers",
number = "7",

}

RIS

TY - JOUR

T1 - On the dynamic stabilization of an inverted pendulum

AU - Butikov, Eugene I.

PY - 2001/7/1

Y1 - 2001/7/1

N2 - A simple qualitative physical explanation is suggested for the phenomenon of dynamic stabilization of the inverted rigid planar pendulum whose pivot is constrained to oscillate with a high frequency in the vertical direction. A quantitative theory based on the suggested approach is developed. A computer program simulating the physical system supports the analytical investigation. The simulation reveals subtle details of the motion and aids the analytical study of the subject in a manner that is mutually reinforcing.

AB - A simple qualitative physical explanation is suggested for the phenomenon of dynamic stabilization of the inverted rigid planar pendulum whose pivot is constrained to oscillate with a high frequency in the vertical direction. A quantitative theory based on the suggested approach is developed. A computer program simulating the physical system supports the analytical investigation. The simulation reveals subtle details of the motion and aids the analytical study of the subject in a manner that is mutually reinforcing.

UR - http://www.scopus.com/inward/record.url?scp=0035595759&partnerID=8YFLogxK

U2 - 10.1119/1.1365403

DO - 10.1119/1.1365403

M3 - Article

AN - SCOPUS:0035595759

VL - 69

SP - 755

EP - 768

JO - American Journal of Physics

JF - American Journal of Physics

SN - 0002-9505

IS - 7

ER -

ID: 51954656