New Variables of Separation for the Steklov-Lyapunov System

Symmetry Integrability and Geometry-Methods and Applications

article

Andrey V. Tsiganov¹ 

[1] St. Petersburg State University

关键词: bi-Hamiltonian geometry;    variables of separation;   

DOI  :  10.3842/SIGMA.2012.012

来源: National Academy of Science of Ukraine

【 摘 要 】

A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra $e(3) = so(3)\ltimes\mathbb R^3$. We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for the Steklov-Lyapunov system and it's gyrostatic deformation.

【 授权许可】

Unknown