Abstract:
In this paper we propose new examples of conservative systems on S 2 possessing cubic integrals in momenta. We obtain a classification of a large class of such systems. We show that this class contains new families of integrable systems as well as the classical case of Goryachev–Chaplygin.
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Received: 6 February 1998/ Accepted: 12 May 1999
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Selivanova, E. New Examples of Integrable Conservative Systems on S 2 and the Case of Goryachev–Chaplygin. Comm Math Phys 207, 641–663 (1999). https://doi.org/10.1007/s002200050740
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DOI: https://doi.org/10.1007/s002200050740