Standard

An improved criterion for Kapitza's pendulum stability. / Butikov, Eugene.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 29, 2011, p. 295202_1-16.

Research output: Contribution to journal › Article

Harvard

Butikov, E 2011, 'An improved criterion for Kapitza's pendulum stability', Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 29, pp. 295202_1-16. https://doi.org/doi:10.1088/1751-8113/44/29/295202

APA

Butikov, E. (2011). An improved criterion for Kapitza's pendulum stability. Journal of Physics A: Mathematical and Theoretical, 44(29), 295202_1-16. https://doi.org/doi:10.1088/1751-8113/44/29/295202

Vancouver

Butikov E. An improved criterion for Kapitza's pendulum stability. Journal of Physics A: Mathematical and Theoretical. 2011;44(29):295202_1-16. https://doi.org/doi:10.1088/1751-8113/44/29/295202

Author

Butikov, Eugene. / An improved criterion for Kapitza's pendulum stability. In: Journal of Physics A: Mathematical and Theoretical. 2011 ; Vol. 44, No. 29. pp. 295202_1-16.

BibTeX

@article{b626bcdba54c4c0289cc8fca7d6b5f91,
title = "An improved criterion for Kapitza's pendulum stability",
abstract = "An enhanced and more exact criterion for dynamic stabilization of the parametrically driven inverted pendulum is obtained: the boundaries of stability are determined with greater precision and are valid in a wider region of the system parameters than previous results. The lower boundary of stability is associated with the phenomenon of subharmonic resonances in this system. The relationship of the upper limit of dynamic stabilization of the inverted pendulum with ordinary parametric resonance (i.e. with destabilization of the lower equilibrium position) is established. Computer simulation of the physical system aids the analytical investigation and proves the theoretical results.",
author = "Eugene Butikov",
year = "2011",
doi = "doi:10.1088/1751-8113/44/29/295202",
language = "English",
volume = "44",
pages = "295202_1--16",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "29",

}

RIS

TY - JOUR

T1 - An improved criterion for Kapitza's pendulum stability

AU - Butikov, Eugene

PY - 2011

Y1 - 2011

N2 - An enhanced and more exact criterion for dynamic stabilization of the parametrically driven inverted pendulum is obtained: the boundaries of stability are determined with greater precision and are valid in a wider region of the system parameters than previous results. The lower boundary of stability is associated with the phenomenon of subharmonic resonances in this system. The relationship of the upper limit of dynamic stabilization of the inverted pendulum with ordinary parametric resonance (i.e. with destabilization of the lower equilibrium position) is established. Computer simulation of the physical system aids the analytical investigation and proves the theoretical results.

AB - An enhanced and more exact criterion for dynamic stabilization of the parametrically driven inverted pendulum is obtained: the boundaries of stability are determined with greater precision and are valid in a wider region of the system parameters than previous results. The lower boundary of stability is associated with the phenomenon of subharmonic resonances in this system. The relationship of the upper limit of dynamic stabilization of the inverted pendulum with ordinary parametric resonance (i.e. with destabilization of the lower equilibrium position) is established. Computer simulation of the physical system aids the analytical investigation and proves the theoretical results.

U2 - doi:10.1088/1751-8113/44/29/295202

DO - doi:10.1088/1751-8113/44/29/295202

M3 - Article

VL - 44

SP - 295202_1-16

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 29

ER -

ID: 5401614