Paper Title:
Noether Symmetry and First Integral of Discrete Nonconservative and Nonholonimic Hamiltoinian System
  Abstract

The letter focuses on studying Noether symmetry and conserved quantity of discrete nonconservative and nonholonomic Hamiltonian system. Firstly, the discrete Hamiltonian canonical equations and discrete energy equations of nonconservative and nonholonomic Hamiltonian systems are derived with discrete Hamiltonian action. Secondly, based on the quasi-invariance of discrete Hamiltonian action and equation of lattice under the infinitesimal transformation with respect to time, generalized coordinates and generalized momentums, the discrete analogue of Noether’s identity and determining equation of lattice are obtained for the systems. Thirdly, the discrete analogues of Noether’s theorems and conserved quantities of the systems are presented. Finally, one example is discussed to illustrate the application of the results.

  Info
Periodical
Chapter
Chapter 1: The Basic of Mechanics and Research Methods
Edited by
Huixuan Zhang, Ye Han, Fuxiao Chen and Jiuba Wen
Pages
167-173
DOI
10.4028/www.scientific.net/AMM.117-119.167
Citation
X. Z. Wang, J. L. Fu, C. R. Li, "Noether Symmetry and First Integral of Discrete Nonconservative and Nonholonimic Hamiltoinian System", Applied Mechanics and Materials, Vols. 117-119, pp. 167-173, 2012
Online since
October 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yong Xu Wang, Cai Hong Zhang, Cun Che Gao
Chapter 22: Computer-Aided Engineering in Manufacturing
Abstract:In this paper, the quasi-sliding mode variable structure control problem for interval coefficients nonlinear discrete singular uncertain...
5803
Authors: Gang Ling Zhao, Li Qun Chen, Jing Li Fu
Chapter 1: Applied Mechanics Mechanical Engineering
Abstract:In this article, we study Lie symmetries and conservation laws of the discrete electromechanical dynamical systems with irregular lattices....
267
Authors: Li Li
Chapter 14: Computer Applications and Mathematical Modeling, Numerical Methods, Intelligent Algorithms and Optimization
Abstract:In this paper, we aim to construct a super integrable discrete soliton hierarchy with self-consistent sources. A new isospectral problem is...
1051