Study on the symmetry and conserved quantities for Hamilton systems

DOI

10.2991/lemcs-14.2014.182How to use a DOI?

Keywords

mechanical systems; form invariance; Lie symmetry; Hojman conserved quantity; Hamilton system

Abstract

The form invariance and the Lie symmetry are defined for Hamilton systems. A relation between the form invariance and the Lie symmetry is derived. The Hojman conserved quantity is constructed by using the generators of Lie symmetry. An approach to find Hojman conserved quantities in terms of the form invariance is presented. An example is given to illustrate the application of the results.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shulong Gu
AU  - Kaixia Wei
PY  - 2014/05
DA  - 2014/05
TI  - Study on the symmetry and conserved quantities for Hamilton systems
BT  - Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science
PB  - Atlantis Press
SP  - 800
EP  - 803
SN  - 1951-6851
UR  - https://doi.org/10.2991/lemcs-14.2014.182
DO  - 10.2991/lemcs-14.2014.182
ID  - Gu2014/05
ER  -