Canonical transformations of the time for the Toda lattice and the Holt system

Abstract

For the Toda lattice and the Holt system we consider properties of canonical transformations of the extended phase space, which preserve integrability. The separated variables are invariant under change of the time. On the other hand, mapping of the time induces transformations of the action-angles variables and a shift of the generating function of the Bäcklund transformation.

LaTeX2e, +amssymb.cls, 8 p

References in corpus (4)

• Few remarks on Baecklund transformations for many-body systems
• Duality between integrable Stackel systems
• Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems
• The Lax pairs for the Holt system

Cited by in corpus (4)

• On the Drach superintegrable systems
• The Maupertuis principle and canonical transformations of the extended phase space
• Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems
• The Maupertuis principle and integrable systems