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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 3, Pages 329–343
DOI: https://doi.org/10.1070/RD2000v005n03ABEH000152 (Mi rcd883) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Study of the Double Mathematical Pendulum — III. Melnikov's Method Applied to the System In the Limit of Small Ratio of Pendulums Masses

A. V. Ivanov

Physics Department, St.-Petersburg State University, Ulyanov str. 1, build. 1
Citations (5)
DOI: https://doi.org/10.1070/RD2000v005n03ABEH000152
Abstract: We consider the double mathematical pendulum in the limit when the ratio of pendulums masses is close to zero and if the value of one of other system parameters is close to degenerate value (i.e. zero or infinity). We investigate homoclinic intersections, using Melnikov's method, and obtain an asymptotic formula for the homoclinic invariant in this case.
Received: 11.01.2000
Bibliographic databases:
Document Type: Article
MSC: 34C15, 58C25, 58F22
Language: English
Citation: A. V. Ivanov, “Study of the Double Mathematical Pendulum — III. Melnikov's Method Applied to the System In the Limit of Small Ratio of Pendulums Masses”, Regul. Chaotic Dyn., 5:3 (2000), 329–343
Citation in format AMSBIB
\Bibitem{Iva00}
\by A. V. Ivanov
\paper Study of the Double Mathematical Pendulum — III. Melnikov's Method Applied to the System In the Limit of Small Ratio of Pendulums Masses
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 3
\pages 329--343
\mathnet{http://mi.mathnet.ru/rcd883}
\crossref{https://doi.org/10.1070/RD2000v005n03ABEH000152}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1789480}
\zmath{https://zbmath.org/?q=an:0993.34036}
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