Open Access
2017 Stable and Unstable Periodic Solutions of the Forced Pendulum of Variable Length
Zaitao Liang, Zhongcheng Zhou
Taiwanese J. Math. 21(4): 791-806 (2017). DOI: 10.11650/tjm/7829

Abstract

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 [11] by using the third order approximation method and a generalized version of the Poincaré-Birkhoff fixed point theorem.

Citation

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Zaitao Liang. Zhongcheng Zhou. "Stable and Unstable Periodic Solutions of the Forced Pendulum of Variable Length." Taiwanese J. Math. 21 (4) 791 - 806, 2017. https://doi.org/10.11650/tjm/7829

Information

Received: 8 July 2016; Revised: 22 October 2016; Accepted: 23 October 2016; Published: 2017
First available in Project Euclid: 27 July 2017

zbMATH: 06871346
MathSciNet: MR3684387
Digital Object Identifier: 10.11650/tjm/7829

Subjects:
Primary: 34D20
Secondary: 34C25

Keywords: forced pendulum of variable length , Poincaré-Birkhoff fixed point theorem , third order approximation method

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

Vol.21 • No. 4 • 2017
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