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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Systems of Kowalevski Type and Discriminantly Separable Polynomials
Vladimir Dragovićab, Katarina Kukićc a Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia
b The Department of Mathematical Sciences, University of Texas at Dallas,
800 West Campbell Road, Richardson TX 75080, USA
c Faculty for Traffic and Transport Engineering, University of Belgrade, Vojvode Stepe 305, 11000 Belgrade, Serbia
Аннотация:
Starting from the notion of discriminantly separable polynomials of
degree two in each of three variables, we construct a class of
integrable dynamical systems. These systems can be integrated
explicitly in genus two theta-functions in a procedure which is
similar to the classical one for the Kowalevski top. The
discriminantly separable polynomials play the role of the Kowalevski
fundamental equation. Natural examples include the Sokolov
systems and the Jurdjevic elasticae.
Ключевые слова:
integrable systems, Kowalevski top, discriminantly separable polynomials, systems of Kowalevski type.
Поступила в редакцию: 30.08.2013 Принята в печать: 09.11.2013
Образец цитирования:
Vladimir Dragović, Katarina Kukić, “Systems of Kowalevski Type and Discriminantly Separable Polynomials”, Regul. Chaotic Dyn., 19:2 (2014), 162–184
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd108 https://www.mathnet.ru/rus/rcd/v19/i2/p162
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