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Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems |
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| Authors: | Fu Jing-Li Chen Li-Qun Bai Jing-Hua and Yang Xiao-Dong |
| Institution: | Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 476000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Mathematics, Kaifeng University, Kaifeng 475000, China |
| Abstract: | This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equations and restrictive equations and give three definitions of Lie symmetries before the structure equations and conserved quantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example is presented for illustrating the results. |
| Keywords: | control nonholonomic dynamical systems Lie symmetry conserved law |
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