NDLI: Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems

Content Provider	Scilit
Author	Jing-Li, Fu Li-Qun, Chen Jing-Hua, Bai Xiao-Dong, Yang
Copyright Year	2003
Description	Journal: Chinese Physics 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.
Related Links	http://iopscience.iop.org/article/10.1088/1009-1963/12/7/301/pdf
Ending Page	699
Page Count	5
Starting Page	695
ISSN	10091963
e-ISSN	17414199
DOI	10.1088/1009-1963/12/7/301
Journal	Chinese Physics
Issue Number	7
Volume Number	12
Language	English
Publisher	IOP Publishing
Publisher Date	2003-06-24
Access Restriction	Open
Subject Keyword	Journal: Chinese Physics Dynamical Systems Lie Symmetries Nonholonomic Dynamical Controllable Nonholonomic Conserved Quantities
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems