Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomicsystems with unilateral constraints are investigated.Appell equations and differential equations of motion for holonomicm...Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomicsystems with unilateral constraints are investigated.Appell equations and differential equations of motion for holonomicmechanic systems with unilateral constraints are established.The definition and the criterion of Mei symmetry forAppell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups arealso given.The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equationsin holonomic systems with unilateral constraints expressed by Appell functions are obtained.An example is given toillustrate the application of the results.展开更多
Under the infinitesimal transformations of groups, a form invariance of rotational relativistic Birkhoffsystems is studied and the definition and criteria are given. In view of the invariance of rotational relativisti...Under the infinitesimal transformations of groups, a form invariance of rotational relativistic Birkhoffsystems is studied and the definition and criteria are given. In view of the invariance of rotational relativistic PfaffBirkhoff D'Alcmbert principle under the infinitesimal transformations of groups, the theory of Noether symmetries ofrotational relativistic Birkhoff systems are constructed. The relation between the form invariance and the Noethersymmetries is studied, and the conserved quantities of rotational relativistic Birkhoff systems are obtained.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10572021the Preparatory Research Foundation of Jiangnan University under Grant No.2008LYY011
文摘Structural equation and Mei conserved quantity of Mei symmetry for Appell equations in holonomicsystems with unilateral constraints are investigated.Appell equations and differential equations of motion for holonomicmechanic systems with unilateral constraints are established.The definition and the criterion of Mei symmetry forAppell equations in holonomic systems with unilateral constraints under the infinitesimal transformations of groups arealso given.The expressions of the structural equation and Mei conserved quantity of Mei symmetry for Appell equationsin holonomic systems with unilateral constraints expressed by Appell functions are obtained.An example is given toillustrate the application of the results.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10372053 and 10472040, the Natural Science Foundation of Hunan Province under Grant No. 03JJY3005, the Scientific Research Foundation of Eduction Department of Hunan Province under Grant No. 02C033 and the 0utstanding Young Talents Training Fund of Liaoning Province under Grant No. 309005
基金The project supported by National Natural Science Foundation of China under Grant Nos, 10372053 and 10472040, the Natural Science Foundation of Hunan Province under Grant No. 03JJY3005, the Scientific Research Foundation of Eduction Burean of Hunan Province under Grant No. 02C033 and the 0utstanding Young Talents Training Fund of Liaoning Province under Grant No. 3040005
基金The project supported by National Natural Science Foundation of China under Grant No. 19972010, and Natural Science Foundation of Henan Province under Grant Nos. 984053100 and 998040080
文摘Under the infinitesimal transformations of groups, a form invariance of rotational relativistic Birkhoffsystems is studied and the definition and criteria are given. In view of the invariance of rotational relativistic PfaffBirkhoff D'Alcmbert principle under the infinitesimal transformations of groups, the theory of Noether symmetries ofrotational relativistic Birkhoff systems are constructed. The relation between the form invariance and the Noethersymmetries is studied, and the conserved quantities of rotational relativistic Birkhoff systems are obtained.
