Simultaneous separation for the Kowalevski and Goryachev-Chaplygin gyrostats

Abstract

In the special case of zero square integral the Kowalevski gyrostat and Goryachev-Chaplygin gyrostat share a simple separation of variables originated from the 4x4 Lax matrix.

15 pages, numeration of formulas corrected

References in corpus (4)

• Few remarks on Baecklund transformations for many-body systems
• Separation of variables for the Ruijsenaars system
• Separation of variables for the Dn type periodic Toda lattice
• Separation of variables and integral relations for special functions

Cited by in corpus (5)

• Simultaneous separation for the Neumann and Chaplygin systems
• Integrable systems on the sphere associated with genus three algebraic curves
• A Note on the Rotationally Symmetric SO(4) Euler Rigid Body
• Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser
• Hamilton-Jacobi Theory and Moving Frames