We study the approximate conserved quantity of the weakly nonholonomic mechanical-electrical system. By means of the Lagrange-Maxwell equation, the Noether equality of the weakly nonholonomic mechanical-electrical sys...We study the approximate conserved quantity of the weakly nonholonomic mechanical-electrical system. By means of the Lagrange-Maxwell equation, the Noether equality of the weakly nonholonomic mechanical-electrical system is obtained. The multiple powers-series expansion of the parameter of the generators of infinitesimal transformations and the gauge function is put into a generalized Noether identity. Using the Noether theorem, we obtain an approximate conserved quantity. An example is provided to prove the existence of the approximate conserved quantity.展开更多
文摘We study the approximate conserved quantity of the weakly nonholonomic mechanical-electrical system. By means of the Lagrange-Maxwell equation, the Noether equality of the weakly nonholonomic mechanical-electrical system is obtained. The multiple powers-series expansion of the parameter of the generators of infinitesimal transformations and the gauge function is put into a generalized Noether identity. Using the Noether theorem, we obtain an approximate conserved quantity. An example is provided to prove the existence of the approximate conserved quantity.
