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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 4, Pages 463–478
(Mi nd106)
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On the Abel equations and the Richelot integrals
Yu. A. Grigor'ev, A. V. Tsiganov Saint-Petersburg State University
Abstract:
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, Abel equations.
Received: 19.10.2009
Citation:
Yu. A. Grigor'ev, A. V. Tsiganov, “On the Abel equations and the Richelot integrals”, Nelin. Dinam., 5:4 (2009), 463–478
Linking options:
https://www.mathnet.ru/eng/nd106 https://www.mathnet.ru/eng/nd/v5/i4/p463
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Statistics & downloads: |
Abstract page: | 186 | Full-text PDF : | 68 | First page: | 1 |
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