Geodesic
Limit cycles in the equation of whirling pendulum with autonomous perturbation
Applications of Mathematics, Tome 44 (1999) no. 4, pp. 271-288.

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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.
DOI : 10.1023/A:1023080513150
Classification : 34C05, 34C23, 37G15, 58F21, 70K05
Keywords: whirling pendulum; Hamiltonian system; autonomous perturbation; Melnikov function; limit cycle; homoclinic orbit; elliptic integral 
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     title = {Limit cycles in the equation of whirling pendulum with autonomous perturbation},
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Lichardová, Hana. Limit cycles in the equation of whirling pendulum with autonomous perturbation. Applications of Mathematics, Tome 44 (1999) no. 4, pp. 271-288. doi : 10.1023/A:1023080513150. http://geodesic.mathdoc.fr/articles/10.1023/A:1023080513150/

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