On the Abel equations and the Richelot integrals
2009, Vol. 5, No. 4, pp. 463-478
Author(s): Grigoryev Y. A., Tsiganov A. V.
The paper deals with superintegrable $N$-degree-of-freedom systems of Richelot type, for which $n\leqslant N$ equations of motion are the Abel equations on a hyperelliptic curve of genus $n−1$. The corresponding additional integrals of motion are second-order polynomials in momenta.
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