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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 1, Pages 36–53
DOI: https://doi.org/10.1134/S1560354712010042 (Mi rcd381) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Topology of the Double Spherical Pendulum

Shengda Hua, Eduardo Leandrob, Manuele Santopretea

a Department of Mathematics, Wilfrid Laurier University, University Avenue West 75, Waterloo, Ontario, N2L 3C5 Canada
b Universidade Federal de Pernambuco, Depto de Matematica, Av. Prof. Luiz Freire S/N, Recife, 50740-540 Brazil
Citations (2)
DOI: https://doi.org/10.1134/S1560354712010042
Abstract: This paper studies the topology of the constant energy surfaces of the double spherical pendulum.
Keywords: double spherical pendulum, topology of level sets, Morse theory, Gysin sequence.
Funding agency
The third author was supported by a NSERC Discovery Grant.
Received: 30.06.2011
Accepted: 28.11.2011
Bibliographic databases:
Document Type: Article
MSC: 70E55, 70G40, 70F20
Language: English
Citation: Shengda Hu, Eduardo Leandro, Manuele Santoprete, “On the Topology of the Double Spherical Pendulum”, Regul. Chaotic Dyn., 17:1 (2012), 36–53
Citation in format AMSBIB
\Bibitem{HuLeaSan12}
\by Shengda Hu, Eduardo Leandro, Manuele Santoprete
\paper On the Topology of the Double Spherical Pendulum
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 1
\pages 36--53
\mathnet{http://mi.mathnet.ru/rcd381}
\crossref{https://doi.org/10.1134/S1560354712010042}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2886625}
\zmath{https://zbmath.org/?q=an:1252.70023}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012RCD....17...36H}
Linking options:
  • https://www.mathnet.ru/eng/rcd381
  • https://www.mathnet.ru/eng/rcd/v17/i1/p36
    • This publication is cited in the following 2 articles:
    1. Morimichi KAWASAKI, Ryuma ORITA, “Rigid fibers of integrable systems on cotangent bundles”, J. Math. Soc. Japan, 74:3 (2022)  crossref
    2. B. Witkowski, P. Perlikowski, A. Prasad, T. Kapitaniak, “The dynamics of co- and counter rotating coupled spherical pendula”, Eur. Phys. J. Spec. Top., 223:4 (2014), 707  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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