2015
DOI: 10.1070/sm2015v206n05abeh004473
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On the general solution of the problem of the motion of a heavy rigid body in the Hess case

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Cited by 8 publications
(7 citation statements)
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“…The basic theorems in [41] and [2] are the same, but in our opinion their proofs contain gaps. We consider in more detail the paper [41].…”
Section: )mentioning
confidence: 87%
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“…The basic theorems in [41] and [2] are the same, but in our opinion their proofs contain gaps. We consider in more detail the paper [41].…”
Section: )mentioning
confidence: 87%
“…We show an isomorphism between the case of regular dynamics in the Suslov problem, which was found in [5], and the classical Hess system in the Euler -Poisson equations. In the Appendix to this paper we present the most wellknown facts about the Hess case and a critical analysis of the recent publications [41,42,2].…”
Section: Introductionmentioning
confidence: 99%
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“…In recent years some other methods have been applied as well to study the Hess-Appel'rot system (see Borisov and Mamaev 2003;Lubowiecki andŻoładek 2012a, b;Belyaev 2015;Simić 2000).…”
Section: A Lax Representation For the Classical Hess-appel'rot Systemmentioning
confidence: 99%
“…Thus, for instance, the classical solution of S. Kovalevskaya [7] of the problem of a heavy rigid body's movement was found on the way to finding single valued solutions. A systematic investigation of singular points of solutions together with a compactification of the flow, defined by the Euler-Poisson equations [8], allow not only to find partial entire and finite valued solutions with some specified properties of their singular points, but also to study global properties of infinite valued solutions [9]. In this case applying the same approach to another problem of classical mechanics, particularly-the three body problem, seems to be quite natural.…”
Section: Introductionmentioning
confidence: 99%