Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems

Author:

Li Zhuangjun,Jiang Wenan,Luo Shaokai

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference39 articles.

1. Hertz, H.R.: Die Prinzipien der Mechanik. GesammelteWerke, Leibzing (1894)

2. Mei, F.X.: Nonholonomic mechanics. ASME Appl. Mech. Rev. 53, 283–305 (2000)

3. Luo, S.K., Zhang, Y.F.: Advances in the Study of Dynamics of Constrained Systems. Science Press, Beijing (2008)

4. Li, Z.P., Jiang, J.H.: Symmetries in Constrained Canonical Systems. Science Press, Beijing (2002)

5. Luo, S.K.: Relativistic variational principles and equations of motion of high-order nonlinear nonholonomic systems. In: Proceedings of the International Conference on Dynamics, Vibration and Control, pp. 645–652. Peking University Press, Beijing (1990)

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