Project supported by the National Outstanding Young Scientist Fund of China (Grant No. 10725209);the National Natural Science Foundation of China (GrantNos. 11072218 and 11272287);the Natural Science Foundation of Zhejiang Province,China (Grant No. Y6110314)
In this paper,Noether symmetry and Mei symmetry of discrete nonholonomic dynamical systems with regular and the irregular lattices are investigated.Firstly,the equations of motion of discrete nonholonomic systems are ...
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A)
Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant i...
supported by the National Natural Science Foundation of China (Grant No. 10372053)
This paper presents the Mei symmetries and new types of non-Noether conserved quantities for a higher-order nonholonomic constraint mechanical system. On the basis of the form invariance of differential equations of m...
Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).
Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The inv...
Project supported by the National Natural Science Foundation of China (Grant No. 10572021);the Preparatory Research Foundation of Jiangnan University,China (Grant No. 2008LYY011)
Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investi- gated. Appell equations and differential equations of motion for a variable mass holonomic system are estab...
For a perturbed mechanical system in phase space, considering d/dt in the structure equation and process of proof including infinitesimal parameter ε obviously, this paper studies the perturbation to Mei symmetry and...
This paper studies a new type of conserved quantity which is directly induced by Mei symmetry of the Lagrange system. Firstly, the definition and criterion of Mei symmetry for the Lagrange system are given. Secondly, ...
Project supported by the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences and the National Natural Science Foundation of China (Grant Nos 10672143, 10471145 and 10372053) and the Natural Science Foundation of Henan Province Government of China(Grant Nos 0511022200 and 0311011400).
In this paper Mei symmetry is introduced for a nonconservative system. The necessary and sufficient condition for a Mei symmetry to be also a Lie symmetry is derived. It is proved that the Mei symmetry leads to a non-...