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Regular and Chaotic Dynamics, 1999, Volume 4, Issue 1, Pages 104–116
DOI: https://doi.org/10.1070/RD1999v004n01ABEH000102 (Mi rcd898) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Study of the double mathematical pendulum — I. Numerical investigation of homoclinic transversal intersections

A. V. Ivanov

Department of Applied Mathematics, University of St. Petersburg
Citations (7)
DOI: https://doi.org/10.1070/RD1999v004n01ABEH000102
Abstract: We investigate the separatrices splitting of the double mathematical pendulum. The numerical method to find periodic hyperbolic trajectories, homoclinic transversal intersections of its separatreces is discussed. This method is realized for some values of the system parameters and it is found out that homoclinic invariants corresponding to these parameters are not equal to zero.
Received: 05.10.1998
Bibliographic databases:
Document Type: Article
MSC: 58F36
Language: English
Citation: A. V. Ivanov, “Study of the double mathematical pendulum — I. Numerical investigation of homoclinic transversal intersections”, Regul. Chaotic Dyn., 4:1 (1999), 104–116
Citation in format AMSBIB
\Bibitem{Iva99}
\by A. V. Ivanov
\paper Study of the double mathematical pendulum — I. Numerical investigation of homoclinic transversal intersections
\jour Regul. Chaotic Dyn.
\yr 1999
\vol 4
\issue 1
\pages 104--116
\mathnet{http://mi.mathnet.ru/rcd898}
\crossref{https://doi.org/10.1070/RD1999v004n01ABEH000102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1712736}
\zmath{https://zbmath.org/?q=an:0999.70022}
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  • https://www.mathnet.ru/eng/rcd/v4/i1/p104
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