Geodesic
On the Abel equations and the Richelot integrals
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 463-478.

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The paper deals with superintegrable $N$-degree-of-freedom systems of Richelot type, for which $n\le N$ 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.
Keywords: superintegrable systems, separation of variables
Mots-clés : Abel equations. 
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Yu. A. Grigor'ev; A. V. Tsiganov. On the Abel equations and the Richelot integrals. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 4, pp. 463-478. http://geodesic.mathdoc.fr/item/ND_2009_5_4_a1/