scholarly journals Noether symmetry and Mei symmetry of a discrete holonomic mechanical system with variable mass

2014 ◽  
Vol 63 (17) ◽  
pp. 170202
Author(s):  
Wang Fei-Fei ◽  
Fang Jian-Hui ◽  
Wang Ying-Li ◽  
Xu Rui-Li
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Noether Symmetry ◽  
Mei Symmetry

Inverse Problems of Mei Symmetry for Nonholonomic Systems with Variable Mass

2015 ◽  
Vol 31 (5) ◽  
pp. 515-523 ◽  
Author(s):  
W.-L. Huang ◽  
J.-L. Cai
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Nonholonomic System ◽  
Research Result ◽  
Variable Mass ◽  
Nonholonomic Systems ◽  
Noether Symmetry ◽  
Additional Restriction ◽  
Holonomic System ◽  
Mei Symmetry

AbstractThe inverse problem of the Mei symmetry for nonholonomic systems with variable mass is studied. Firstly, the authors discuss the Mei symmetry of the holonomic system opposite to a nonholonomic system. Secondly, weak and strong Mei symmetries of a nonholonomic system are concluded through restriction equations and additional restriction equations. Thirdly, the relevant conserved quantity is deduced by means of the structure equation for the gauge function. Fourthly, the inverse problem of the Mei symmetry is obtained by the Noether symmetry. Finally, the paper offers an example to illustrate the application of the research result.

scholarly journals The Mei symmetry of discrete difference sequence mechanical system with variable mass

2008 ◽  
Vol 57 (10) ◽  
pp. 6056
Author(s):  
Huang Xiao-Hong ◽  
Zhang Xiao-Bo ◽  
Shi Shen-Yang
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Difference Sequence ◽  
Mei Symmetry

scholarly journals Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system

2010 ◽  
Vol 59 (6) ◽  
pp. 3639
Author(s):  
Li Yuan-Cheng ◽  
Xia Li-Li ◽  
Wang Xiao-Ming ◽  
Liu Xiao-Wei
Keyword(s):  
Mechanical System ◽  
Conserved Quantities ◽  
Mei Symmetry

scholarly journals On algebraic integrals of equations of motion of a complex mechanical system

2021 ◽  
pp. 29-36
Author(s):  
Nikolay Makeyev ◽  
Keyword(s):  
Mechanical System ◽  
Gravity Field ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Equation Of Motion ◽  
First Integrals ◽  
Mass Composition ◽  
Complex Mechanical System ◽  
Fixed Pole ◽  
Variable Configuration

Criteria for the existence of certain types of algebraic first integrals of the equation of motion of a mechanical system of variable mass composition and variable configuration are given. The carrier body of the system (base body) rotates around a fixed pole in a stationary homogeneous gravity field under the influence of specified nonstationary forces. The types of partial integrals are indicated and restrictions are established that determine their existence.

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