0
2013
Impact Factor

 Hadeler K. P., Selivanova E. N. On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on $S^2$ 1999, vol. 4, no. 3, pp.  45-52 Abstract There is a well-known example of an integrable conservative system on $S^2$, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. The aim of this paper is to construct new families of examples of conservative systems on $S^2$ possessing an integral of fourth degree in momenta. Citation: Hadeler K. P., Selivanova E. N.,  On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on $S^2$, Regular and Chaotic Dynamics, 1999, vol. 4, no. 3, pp. 45-52 DOI:10.1070/RD1999v004n03ABEH000115