Momentum map and action-angle variables for Nambu dynamics

TEĞMEN A.

CZECHOSLOVAK JOURNAL OF PHYSICS, vol.54, no.7, pp.749-757, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 7
  • Publication Date: 2004
  • Doi Number: 10.1023/b:cjop.0000038528.44335.8b
  • Journal Name: CZECHOSLOVAK JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.749-757
  • Keywords: momentum map, Nambu mechanics, action-angle variables, MECHANICS
  • Ankara University Affiliated: Yes

Abstract

Momentum map is a reduction procedure that reduces the dimension of a Hamiltonian system to the lower ones. It is shown that behavior of the action-angle variables under the momentum map generates the new action-angle variables for the reduced system considered as a Nambu structure. The symmetrical top is given as an illustration.