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This article is cited in 4 scientific papers (total in 4 papers)
On the existence of motions in the generalized 4th Appelrot class
M. P. Kharlamov, E. G. Shvedov Volgograd Academy for Public Administration,
8, Gagarina Str., Volgograd 400131, Russia
Abstract:
The article continues the investigations of bifurcation diagrams of the Kowalevski top in two constant fields started by the first author in [10], [1]. We analyze the admissible values of two almost everywhere independent integrals arising on the invariant submanifold that generalizes the so-called 4th Appelrot class of the Kowalevski top in the field of gravity.
Keywords:
Kowalevski top, double field, critical set.
Received: 15.05.2006 Accepted: 18.07.2006
Citation:
M. P. Kharlamov, E. G. Shvedov, “On the existence of motions in the generalized 4th Appelrot class”, Regul. Chaotic Dyn., 11:3 (2006), 337–342
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https://www.mathnet.ru/eng/rcd680 https://www.mathnet.ru/eng/rcd/v11/i3/p337
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