Title: Lie Symmetrical Non-Noether Conserved Quantity of Mechanical System in Phase Space
Abstract: We study the Lie symmetrical non-Noether conserved quantity of the differential equations of motion of mechanical system in phase space under the general infinitesimal transformations of groups. Firstly, we give the determining equations of the Lie symmetry of the system. Secondly, the non-Noether conserved quantity of the Lie symmetry is derived. Finally, an example is given to illustrate the application of the result.
Publication Year: 2004
Publication Date: 2004-09-15
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 10
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot