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Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

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Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied. The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Title: Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type
Description:
Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied.
The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained.
An example is given to illustrate the application of the results.

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