The period of a whirling pendulum

Hana Lichardová

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 3, page 593-606
  • ISSN: 0862-7959

Abstract

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The period function of a planar parameter-depending Hamiltonian system is examined. It is proved that, depending on the value of the parameter, it is either monotone or has exactly one critical point.

How to cite

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Lichardová, Hana. "The period of a whirling pendulum." Mathematica Bohemica 126.3 (2001): 593-606. <http://eudml.org/doc/248867>.

@article{Lichardová2001,
abstract = {The period function of a planar parameter-depending Hamiltonian system is examined. It is proved that, depending on the value of the parameter, it is either monotone or has exactly one critical point.},
author = {Lichardová, Hana},
journal = {Mathematica Bohemica},
keywords = {Hamiltonian system; period function; Picard-Fuchs equations; Hamiltonian system; period function; Picard-Fuchs equations},
language = {eng},
number = {3},
pages = {593-606},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The period of a whirling pendulum},
url = {http://eudml.org/doc/248867},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Lichardová, Hana
TI - The period of a whirling pendulum
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 3
SP - 593
EP - 606
AB - The period function of a planar parameter-depending Hamiltonian system is examined. It is proved that, depending on the value of the parameter, it is either monotone or has exactly one critical point.
LA - eng
KW - Hamiltonian system; period function; Picard-Fuchs equations; Hamiltonian system; period function; Picard-Fuchs equations
UR - http://eudml.org/doc/248867
ER -

References

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  10. Nichtlineare Mechanik, Springer, Berlin, 1958. (1958) Zbl0080.17409MR0145709
  11. 10.1023/A:1023080513150, Appl. Math. 44 (1999), 271–288. (1999) MR1698769DOI10.1023/A:1023080513150
  12. 10.1137/0527044, SIAM J. Math. Anal. 27 (1996), 823–834. (1996) MR1382835DOI10.1137/0527044
  13. 10.1137/0517039, SIAM J. Math. Anal. 17 (1986), 495–511. (1986) MR0838238DOI10.1137/0517039
  14. A Course of Modern Analysis, Cambridge at the University Press, Cambridge, 1927. (1927) MR1424469
  15. Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York, 1990. (1990) Zbl0701.58001MR1056699

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