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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
New Examples of Systems of the Kowalevski Type
Vladimir Dragovićab, Katarina Kukićc a Mathematical Physics Group, University of Lisbon, Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal
b Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia
c Faculty for Traffic and Transport Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia
Аннотация:
A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discriminantly separable polynomials. They have appeared in a recent reconsideration of the celebrated Kowalevski top, and their role here is analogue to the situation with the classical Kowalevski integration procedure.
Ключевые слова:
integrable dynamical system, Kowalevski top, discriminantly separable polynomials, systems of the Kowalevski type, invariant measure.
Поступила в редакцию: 16.06.2011 Принята в печать: 17.07.2011
Образец цитирования:
Vladimir Dragović, Katarina Kukić, “New Examples of Systems of the Kowalevski Type”, Regul. Chaotic Dyn., 16:5 (2011), 484–495
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd464 https://www.mathnet.ru/rus/rcd/v16/i5/p484
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