Hildeberto E. Cabral, Tiago de A. Amorim, “Subharmonic Solutions of a Pendulum Under Vertical Anharmonic Oscillations of the Point of Suspension”, Regul. Chaotic Dyn., 2017, Volume 22, Issue 7,Pages <nobr>782

This article is cited in 2 papers

Subharmonic Solutions of a Pendulum Under Vertical Anharmonic Oscillations of the Point of Suspension

Hildeberto E. Cabral, Tiago de A. Amorim

Universidade Federal de Pernambuco, Recife, Brazil

Abstract: We prove the existence of subharmonic solutions in the dynamics of a pendulum whose point of suspension executes a vertical anharmonic oscillation of small amplitude.

Keywords: mathematical pendulum, periodic motions, subharmonic solutions.

MSC: 70K42, 34C15, 34C25

Received: 02.11.2017
Accepted: 20.11.2017

Language: English

DOI: 10.1134/S1560354717070024