3 papers
math-ph2002
The Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties
V. Dragovic, B. Gajic
A four-dimensional integrable rigid-body system is considered and it is shown that it represents two twisted three-dimensional Lagrange tops. A polynomial Lax representation, which…
math-ph2000
The Appell hypergeometric functions and classical separable mechanical systems
Vladimir Dragovic
A relationship between two old mathematical subjects is observed: the theory of hypergeometric functions and the separability in classical mechanics. Separable potential perturbati…
math-ph1999
An L-A pair for the Apel'rot system and a new integrable case for the Euler-Poisson equations on so(4)xso(4)
Vladimir Dragovic, Borislav Gajic
We present an L-A pair for the Apel'rot case of a heavy rigid 3-dimensional body. Using it we give an algebro-geometric integration procedure. Generalizing this L-A pair, we obtain…