Two types of Mei adiabatic invariants induced by perturbation of Mei symmetry for nonholonomic controllablemechanical systems are reported.Criterion and restriction equations determining Mei symmetry after beingdistur...Two types of Mei adiabatic invariants induced by perturbation of Mei symmetry for nonholonomic controllablemechanical systems are reported.Criterion and restriction equations determining Mei symmetry after beingdisturbed of the system are established.Form and existence condition of Mei adiabatic invariants are obtained.展开更多
Based on the concept of adiabatic invariant, the perturbation to unified symmetry and adiabatic invariants for relativistic Hamilton systems are studied. The definition of the perturbation to unified symmetry for the ...Based on the concept of adiabatic invariant, the perturbation to unified symmetry and adiabatic invariants for relativistic Hamilton systems are studied. The definition of the perturbation to unified symmetry for the system is presented, and the criterion of the perturbation to unified symmetry is given. Meanwhile, the Noether adiabatic invariants, the generalized Hojman adiabatic invariants, and the Mei adiabatic invariants for the perturbed system are obtained.展开更多
作者为我校物理与信息工程系陈向炜、王明泉和王新民教授．全文发表于SCI源期刊《Communications in Theortical Physics））2005年第43卷第4期．该文属陈向炜教授主持的国家自然科学基金（批准号10372053）和河南省自然科学基金（批准...作者为我校物理与信息工程系陈向炜、王明泉和王新民教授．全文发表于SCI源期刊《Communications in Theortical Physics））2005年第43卷第4期．该文属陈向炜教授主持的国家自然科学基金（批准号10372053）和河南省自然科学基金（批准号0311010900）资助课题．展开更多
基金Supported by the Natural Science Foundation of Shandong Province under Grant No.ZR2009AQ011 Science Foundation of Binzhou University under Grant No.BZXYG0903
文摘Two types of Mei adiabatic invariants induced by perturbation of Mei symmetry for nonholonomic controllablemechanical systems are reported.Criterion and restriction equations determining Mei symmetry after beingdisturbed of the system are established.Form and existence condition of Mei adiabatic invariants are obtained.
文摘Based on the concept of adiabatic invariant, the perturbation to unified symmetry and adiabatic invariants for relativistic Hamilton systems are studied. The definition of the perturbation to unified symmetry for the system is presented, and the criterion of the perturbation to unified symmetry is given. Meanwhile, the Noether adiabatic invariants, the generalized Hojman adiabatic invariants, and the Mei adiabatic invariants for the perturbed system are obtained.
文摘作者为我校物理与信息工程系陈向炜、王明泉和王新民教授．全文发表于SCI源期刊《Communications in Theortical Physics））2005年第43卷第4期．该文属陈向炜教授主持的国家自然科学基金（批准号10372053）和河南省自然科学基金（批准号0311010900）资助课题．
