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SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS |
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| Authors: | Guo Yong-xin Jiang Li-yan and Yu Ying |
| Affiliation: | Department of Physics, Liaoning University, Shenyang 110036, China; Department of Electronics and Information Engineering, Dandong Advanced Academy, Dandong 118000, China; 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. |
| Keywords: | nonholonomic constraints dynamical symmetries adjoint symmetries Noether symmetries |
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