Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 21, Number 4 (2017), 791-806.
Stable and Unstable Periodic Solutions of the Forced Pendulum of Variable Length
In this paper, we study the existence of stable and unstable periodic solutions of the forced pendulum of variable length. The proof is based on a stability criterion which was obtained in  by using the third order approximation method and a generalized version of the Poincaré-Birkhoff fixed point theorem.
Taiwanese J. Math., Volume 21, Number 4 (2017), 791-806.
Received: 8 July 2016
Revised: 22 October 2016
Accepted: 23 October 2016
First available in Project Euclid: 27 July 2017
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Liang, Zaitao; Zhou, Zhongcheng. Stable and Unstable Periodic Solutions of the Forced Pendulum of Variable Length. Taiwanese J. Math. 21 (2017), no. 4, 791--806. doi:10.11650/tjm/7829. https://projecteuclid.org/euclid.twjm/1501120835