Calculation of Nambu Mechanics

Authors

  • Shuang-Hu Wang

Keywords:

Nambu equations, Differential forms, Difference schemes, Structure preserving methods.

Abstract

In this paper, a fundamental fact that Nambu mechanics is source free was proved. Based on this property, and via the idea of prolongation, finite dimensional Nambu system was prolonged to difference jet bundle. Structure preserving numerical methods of Nambu equations were established. Numerical experiments were presented at last to demonstrate advantages of the structure preserving schemes.

Published

2006-06-02

Issue

Section

Articles