First integrals of the discrete nonconservative and nonholonomic systems

, and

Published under licence by IOP Publishing Ltd
, , Citation Zhang Hong-Bin et al 2005 Chinese Phys. 14 238 DOI 10.1088/1009-1963/14/2/003

Download Article PDF

Article metrics

60 Total downloads

Share this article

Author affiliations

1 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

2 Department of Physics, Chaohu University, Chaohu 238000, China

Dates

  1. Received 14 June 2004
1009-1963/14/2/238

Abstract

In this paper we show that the first integrals of the discrete equation of motion for nonconservative and nonholonomic mechanical systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian. The result obtained is a discrete analogue of the generalized theorem of Noether in the Calculus of variations.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/1009-1963/14/2/003