Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science

Study on the symmetry and conserved quantities for Hamilton systems

Authors
Shulong Gu, Kaixia Wei
Corresponding Author
Shulong Gu
Available Online May 2014.
DOI
https://doi.org/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.
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Proceedings
International Conference on Logistics Engineering, Management and Computer Science (LEMCS 2014)
Part of series
Advances in Intelligent Systems Research
Publication Date
May 2014
ISBN
978-94-6252-010-3
ISSN
1951-6851
DOI
https://doi.org/10.2991/lemcs-14.2014.182How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - International Conference on Logistics Engineering, Management and Computer Science (LEMCS 2014)
PB  - Atlantis Press
SP  - 800
EP  - 803
SN  - 1951-6851
UR  - https://doi.org/10.2991/lemcs-14.2014.182
DO  - https://doi.org/10.2991/lemcs-14.2014.182
ID  - Gu2014/05
ER  -