摘要
Symmetry of Lagrangians of nonholonomic controllable mechanical systems is studied. The definition and criterion of the symmetry of the system are presented. Under the condition that there exists a conserved quantity, the form of the conserved quantity is provided. An example is presented to illustrate the application of the results.
Symmetry of Lagrangians of nonholonomic controllable mechanical systems is studied. The definition and criterion of the symmetry of the system are presented. Under the condition that there exists a conserved quantity, the form of the conserved quantity is provided. An example is presented to illustrate the application of the results.
基金
Supported by the Key Disciplines＇ Building Foundation of Henan Institute of Education, the Natural Science Foundation of Education Bureau of Henan Province （2009A140003）, and the Young Core Instructor from Henan Institute of Education.
