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Regular and chaotic motions of the parametrically forced pendulum : Theory and simulations. / Butikov, Eugene I.

Computational Science, ICCS 2002 - International Conference, Proceedings. PART 3. ed. 2002. p. 1154-1169 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2331 LNCS, No. PART 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Butikov, EI 2002, Regular and chaotic motions of the parametrically forced pendulum: Theory and simulations. in Computational Science, ICCS 2002 - International Conference, Proceedings. PART 3 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 3, vol. 2331 LNCS, pp. 1154-1169, International Conference on Computational Science, ICCS 2002, Amsterdam, Netherlands, 21/04/02.

APA

Butikov, E. I. (2002). Regular and chaotic motions of the parametrically forced pendulum: Theory and simulations. In Computational Science, ICCS 2002 - International Conference, Proceedings (PART 3 ed., pp. 1154-1169). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2331 LNCS, No. PART 3).

Vancouver

Butikov EI. Regular and chaotic motions of the parametrically forced pendulum: Theory and simulations. In Computational Science, ICCS 2002 - International Conference, Proceedings. PART 3 ed. 2002. p. 1154-1169. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 3).

Author

Butikov, Eugene I. / Regular and chaotic motions of the parametrically forced pendulum : Theory and simulations. Computational Science, ICCS 2002 - International Conference, Proceedings. PART 3. ed. 2002. pp. 1154-1169 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 3).

BibTeX

@inproceedings{1f128325324542318901958ab420851d,
title = "Regular and chaotic motions of the parametrically forced pendulum: Theory and simulations",
abstract = "New types of regular and chaotic behaviour of the parametrically driven pendulum are discovered with the help of computer simulations. A simple qualitative physical explanation is suggested to the phenomenon of subharmonic resonances. An approximate quantitative theory based on the suggested approach is developed. The spectral composition of the subharmonic resonances is investigated quantitatively, and their boundaries in the parameter space are determined. The conditions of the inverted pendulum stability are determined with a greater precision than they have been known earlier. A close relationship between the upper limit of stability of the dynamically stabilized inverted pendulum and parametric resonance of the hanging down pendulum is established. Most of the newly discovered modes are waiting a plausible physical explanation.",
author = "Butikov, {Eugene I.}",
year = "2002",
month = dec,
day = "1",
language = "English",
isbn = "3540435948",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
number = "PART 3",
pages = "1154--1169",
booktitle = "Computational Science, ICCS 2002 - International Conference, Proceedings",
edition = "PART 3",
note = "International Conference on Computational Science, ICCS 2002 ; Conference date: 21-04-2002 Through 24-04-2002",

}

RIS

TY - GEN

T1 - Regular and chaotic motions of the parametrically forced pendulum

T2 - International Conference on Computational Science, ICCS 2002

AU - Butikov, Eugene I.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - New types of regular and chaotic behaviour of the parametrically driven pendulum are discovered with the help of computer simulations. A simple qualitative physical explanation is suggested to the phenomenon of subharmonic resonances. An approximate quantitative theory based on the suggested approach is developed. The spectral composition of the subharmonic resonances is investigated quantitatively, and their boundaries in the parameter space are determined. The conditions of the inverted pendulum stability are determined with a greater precision than they have been known earlier. A close relationship between the upper limit of stability of the dynamically stabilized inverted pendulum and parametric resonance of the hanging down pendulum is established. Most of the newly discovered modes are waiting a plausible physical explanation.

AB - New types of regular and chaotic behaviour of the parametrically driven pendulum are discovered with the help of computer simulations. A simple qualitative physical explanation is suggested to the phenomenon of subharmonic resonances. An approximate quantitative theory based on the suggested approach is developed. The spectral composition of the subharmonic resonances is investigated quantitatively, and their boundaries in the parameter space are determined. The conditions of the inverted pendulum stability are determined with a greater precision than they have been known earlier. A close relationship between the upper limit of stability of the dynamically stabilized inverted pendulum and parametric resonance of the hanging down pendulum is established. Most of the newly discovered modes are waiting a plausible physical explanation.

UR - http://www.scopus.com/inward/record.url?scp=84886833452&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84886833452

SN - 3540435948

SN - 9783540435945

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 1154

EP - 1169

BT - Computational Science, ICCS 2002 - International Conference, Proceedings

Y2 - 21 April 2002 through 24 April 2002

ER -

ID: 51954438