Abstract
For a Lagrangian system with the action of small disturbance, theLie symmetrical perturbation and a new type of non-Noether adiabaticinvariant are presented in general infinitesimal transformationgroups. On the basis of the invariance of disturbed Lagrangian systemsunder general infinitesimal transformations, the determining equationsof Lie symmetries of the system are constructed. Based on thedefinition of higher-order adiabatic invariants of a mechanical system,a new type of adiabatic invariant, i.e. generalized Lutzky adiabaticinvariants, of a disturbed Lagrangian system are obtained byinvestigating the perturbation of Lie symmetries for a Lagrangiansystem with the action of small disturbance. Finally, an example isgiven to illustrate the application of the method and 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.
