2 papers
nlin.SI2010
On the bi-Hamiltonian structure of Bogoyavlensky system on
A. V. Vershilov
We discuss bi-Hamiltonian structure for the Bogoyavlensky system on with an additional integral of fourth order in momenta. An explicit procedure to find the variables of s…
nlin.SI2008
On bi-hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
A V Vershilov, A V Tsiganov
We obtain bi-Hamiltonian structure for a family of integrable systems on the sphere S with an additional integral of third order in momenta. These results are applied to the Goryac…