New Variables of Separation for the Steklov-Lyapunov System

Abstract

A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra $e(3)=so(3)⋉{\mathbb{R}}^3$. 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.

References in corpus (1)

• On natural Poisson bivectors on the sphere

Cited by in corpus (3)

• Simultaneous separation for the Neumann and Chaplygin systems
• Integrable systems on the sphere associated with genus three algebraic curves
• On discretization of the Euler top