Abstract
The effects of non-conservative forces and nonholonomic constraints on Noether symmetries and conserved quantities of a Lagrange system are studied. When non-conservative forces or nonholonomic constraints are inserted in a Lagrange system, the Noether symmetries and the conserved quantities of the system may vary. Some Noether symmetries disappear, some new Noether symmetries emerge, and under certain conditions, some Noether symmetries will still remain. The conditions under which the Noether symmetries and the conserved quantities of the system will remain are given, and two examples are given to illustrate the application of the results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.