On the bi-Hamiltonian structure of Bogoyavlensky system on so(4)

Author:

Vershilov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference18 articles.

1. Borisov, A.V. and Mamaev I.S., Dynamics of a Rigid Body. Hamiltonian Methods, Integrability, Chaos 2nd ed., Moscow-Izhevsk: RCD, Institute of Computer Science, 2005 (Russian).

2. Chaplygin, S.A., A New Partial Solution of the Problem of Motion of a Rigid Body in a Liquid, Trudy otdel. fiz. nauk obsh. liub. est., 1903, vol. 11, pp. 7–10 (Russian).

3. Kuznetsov, V.B. and Tsiganov, A.V., A Special Case of Neumann’s System and the Kowalewski-Chaplygin-Goryachev Top, J. Phys. A., 1989, vol. 22, pp. L73–L79.

4. Tsiganov, A.V., On the Kowalevski-Goryachev-Chaplygin gyrostat, J. Phys. A, Math. Gen., 2002, vol. 35, no. 26, pp. L309–L318.

5. Tsiganov, A.V., A Family of the Poisson Brackets Compatible with the Sklyanin Bracket, J. Phys. A: Math. Theor., 2007, vol. 40, pp. 4803–4816.

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