Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints
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 the Appell equation for the system,the definition and criterion of Lie symmetry,th...
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| Veröffentlicht in: | Chinese physics B 2013-02, Vol.22 (2), p.45-49 |
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| creator | 王肖肖 韩月林 张美 贾利群 |
| description | 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 the Appell equation for the system,the definition and criterion of Lie symmetry,the condition and the expression of generalized Hojman conserved quantity deduced from Lie symmetry for the system are obtained.The condition and the expression of Hojman conserved quantity deduced from special Lie symmetry for the system under invariable time are further obtained.An example is given to illustrate the application of the results. |
| doi_str_mv | 10.1088/1674-1056/22/2/020201 |
| format | Article |
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equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints</atitle><jtitle>Chinese physics B</jtitle><addtitle>Chinese Physics</addtitle><date>2013-02-01</date><risdate>2013</risdate><volume>22</volume><issue>2</issue><spage>45</spage><epage>49</epage><pages>45-49</pages><issn>1674-1056</issn><eissn>2058-3834</eissn><eissn>1741-4199</eissn><abstract>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 the Appell equation for the system,the definition and criterion of Lie symmetry,the condition and the expression of generalized Hojman conserved quantity deduced from Lie symmetry for the system are obtained.The condition and the expression of Hojman conserved quantity deduced from special Lie symmetry for the system under invariable time are further obtained.An example is given to 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| fulltext | fulltext |
| identifier | ISSN: 1674-1056 |
| ispartof | Chinese physics B, 2013-02, Vol.22 (2), p.45-49 |
| issn | 1674-1056 2058-3834 1741-4199 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1793248501 |
| source | Institute of Physics Journals |
| subjects | Appell方程 Criteria Differential equations Dynamical systems Dynamics Hojman守恒量 Lie对称性 Mathematical analysis Symmetry 动力学系统 发电 相对运动 非Chetaev型 非完整约束 |
| title | Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints |
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