a Department of Physics, Liaoning University, Shenyang 110036, China; b Department of Electronics and Information Engineering, Dandong Advanced Academy, Dandong 118000, China; c School of Science, Shenyang University of Technology, Shenyang 110023, China
Abstract The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chaplygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.
Received: 21 September 2000
Revised: 21 November 2000
Accepted manuscript online:
PACS:
11.30.Na
(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
Fund: Supported by the Natural Science Foundation of Liaoning Province of China and the Science Research Foundation of Provincial Education Committee of Liaoning, China (Grant No.990111004, 20021004).
Cite this article:
Guo Yong-xin (郭永新), Jiang Li-yan (姜丽妍), Yu Ying (于莹) SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS 2001 Chinese Physics 10 181
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