MATHEMATICA BOHEMICA, Vol. 126, No. 3, pp. 593-606 (2001)

The period of a whirling pendulum

Hana Lichardova

Hana Lichardova, Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Ilkovicova 3, 812 19 Bratislava, Slovakia, e-mail: lichardova@kmat.elf.stuba.sk

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.

Keywords: Hamiltonian system, period function, Picard-Fuchs equations

Classification (MSC2000): 37G15, 34C05

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