Project supported by the National Natural Science Foundation of China (Grant No. 11142014);the Scientific Research and Innovation Plan for College Graduates of Jiangsu Province,China (Grant No. CXLX12_0720)
Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of...
Project supported by the National Natural Science Foundation of China (Grant No. 11142014 and 61178032)
The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied.The differential equations of motion of the Appell equ...
The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Ni...
Supported by the National Natural Science Foundation of China under Grant No.10972151.
The integration method of a dynamical system of relative motion is studied,and the method of variation of parameters for the dynamical equations of relative motion is presented.First,the dynamic equations of relative ...
supported by the National Natural Science Foundation of China (Grant No. 10972151)
This paper focuses on studying the Poisson theory and the integration method of dynamics of relative motion. Equations of a dynamical system of relative motion in phase space are given. Poisson theory of the system is...
Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated. The definition and the criterion of the special Lie symmetry of Appell equations i...
supported by the National Natural Science Foundation of China (Grant No 10372053);the Natural Science Foundation of Henan Province,China (Grant Nos 082300410330 and 082300410370)
This paper discusses in detail the conformal invariance by infinitesimal transformations of a dynamical system of relative motion. The necessary and sufficient conditions of conformal invariance and Lie symmetry are g...
The project supported by Natural Science Foundation of Heilongjiang Province of China under Grant No. 9507
The integrating factors and conservation theorems of nonholonomic dynamical system of relative motion are studied. First, the dynamical equations of relative motion of system are written. Next, the definition of integ...
Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic dynamical system of relative motion are studied. The perturbation to symmetries for the nonholo...