Supported by the National Natural Science Foundation of China under Grant Nos.10972151 and 11272227;the Innovation Program for Scientific Research of Nanjing University of Science and Technology
For El-Nabulsi's fractional Birkhoff system, Mei symmetry perturbation, the corresponding Mei-type adiabatic invariants and Noether-type adiabatic invariants are investigated in this paper. Firstly, based on El-Nabuls...
Supported by the Natural Science Foundation of Shandong Province under Grant No.ZR2009AQ011; Science Foundation of Binzhou University under Grant No.BZXYG0903
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...
Supported by the Natural Science Foundation of Shandong Province under Grant No.Y2008A33
Considering full perturbation to infinitesimal generators in the Mei structure equation,a new type of Meiadiabatic invariant induced by perturbation to Mei symmetry for Hamiltonian system was reported.
Supported by the Key Disciplines' Building Foundation of Henan Institute of Education;the Natural Science Foundation of Education Bureau of Henan Province of China under Grant No. 2009A14003
The Mei symmetries and the Lie symmetries for nonholonomic controllable mechanical systems with relativistic rotational variable mass are studied. The differential equations of motion of the systems are established. ...
supported by the Key Disciplines' Building Foundation of Henan Institute of Education
This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantities for Nonholonomic Systems with Servoconstraints. The criterions of the Mei symmetry, the Noether...
the Theoretical Physics (the Key Disciplines) Foundation of Henan Institute of Education
The perturbation of symmetries and Mei adiabatic invariants of nonholonomic systems with servoconstraints are studied. The exact invariants in the form of Mei conserved quantities introduced by the Mei symmetry of non...
The project supported by the Graduate Student's Innovative Foundation of China University of Petroleum (East China) under Grant No. S2006-31 .
This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The con...