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Article

Lichardová, Hana
Limit cycles in the equation of whirling pendulum with autonomous perturbation. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 271-288
MSC: 34C05, 34C23, 37G15, 58F21, 70K05 | MR 1698769 | Zbl 1060.34504 | DOI: 10.1023/A:1023080513150
Keywords:
whirling pendulum; Hamiltonian system; autonomous perturbation; Melnikov function; limit cycle; homoclinic orbit; elliptic integral
Summary:
The two-parameter Hamiltonian system with the autonomous perturbation is considered. Via the Mel’nikov method, existence and uniqueness of a limit cycle of the system in a certain region of a two-dimensional space of parameters is proved.
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