Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; College of Physics, Liaoning University, Shenyang 110036, China
Abstract:
This paper studies the conformal invariance by infinitesimal point
transformations of non-conservative Lagrange systems. It gives the
necessary and sufficient conditions of conformal invariance by the
action of infinitesimal point transformations being Lie symmetric
simultaneously. Then the Noether conserved quantities of conformal
invariance are obtained. Finally an illustrative example is given to
verify the results.