arXiv subjects

A. V. Vershilov

Publications and source records attributed to A. V. Vershilov.

2 recordsLinked to original sources

arXiv2011

On one integrable system with a cubic first integral

Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.

nlin.SI↗

arXiv2010

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

We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.

nlin.SI↗