Abstract
A relation between a canonical set of integrals of motion and the Lepagean (fundamental) differential form theta in higher-order mechanics is studied. The canonical set of integrals of motion is introduced as a system of functions of coordinates, time and higher-order velocities of the given mechanical system, satisfying certain axioms of functional independence, completeness and canonical adjointness. It is shown that there exists a correspondence between canonical sets of integrals of motion and semiregular Lepagean forms. A connection of invariance transformations of the form d theta with integrals of motion is studied, and a generalisation of the local Liouville theorem on the integrals of motion in involution is given.
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.
