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Regul. Chaotic Dyn., 2017, Volume 22, Issue 7, Pages 782–791 (Mi rcd290)  

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

DOI: https://doi.org/10.1134/S1560354717070024

References: PDF file   HTML file

Bibliographic databases:

MSC: 70K42, 34C15, 34C25
Received: 02.11.2017
Accepted:20.11.2017
Language:

Citation: Hildeberto E. Cabral, Tiago de A. Amorim, “Subharmonic Solutions of a Pendulum Under Vertical Anharmonic Oscillations of the Point of Suspension”, Regul. Chaotic Dyn., 22:7 (2017), 782–791

Citation in format AMSBIB
\Bibitem{CabAmo17}
\by Hildeberto E. Cabral, Tiago de A. Amorim
\paper Subharmonic Solutions of a Pendulum Under Vertical Anharmonic Oscillations of the Point of Suspension
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 7
\pages 782--791
\mathnet{http://mi.mathnet.ru/rcd290}
\crossref{https://doi.org/10.1134/S1560354717070024}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000425980500002}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042514034}


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