Abstract
Based on the invariance of differential equations under infinitesimal transformations, Lie symmetries, laws of conservations, perturbation to the symmetries and adiabatic invariants of Lagrange system are presented. Firstly, the concepts of Lie symmetries and higher order adiabatic invariants of the Lagrange system are proposed. Then, the conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are given. At last, an example is presented to illustrate these results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
