Note on \(L\)-\(A\) pair for the Kowalevskaya gyrostat in a magnetic field. (English) Zbl 0999.35501

Dragović, Vladimir

Mat. Vesn. 49, No. 3-4, 279-281 (1997).

In this note \(L\)-\(A\) pairs are constructed for the Kowalevskaya gyrostat and Goryachev-Chaplygin gyrostat with magnetic field.

Reviewer: Miloš Arsenović (Beograd)

MSC:

70E15	Free motion of a rigid body
39B42	Matrix and operator functional equations
37N05	Dynamical systems in classical and celestial mechanics
70H05	Hamilton’s equations

Keywords:

integrable systems; Hamiltonians; Kowalevskaya gyrostat