Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system

Author:

Sun Xianting,Yang Bingchen,Zhang Yaoyu,Xue Xichang,Jia Liqun

Publisher

Springer Science and Business Media LLC

Subject

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

Reference33 articles.

1. Noether, A.E.: Invariante variationsprobleme. Nachr. Akad. Wiss. Gött. Math. Phys Kl. II, 235–257 (1918)

2. Mei, F.X.: Symmetries and Conserved Quantities of Constrained Mechanical System. Beijing Institute of Technology Press, Beijing (2004)

3. Cai, J.L., Luo, S.K., Mei, F.X.: Conformal invariance and conserved quantity of Hamilton systems. Chin. Phys. B 17, 3170 (2008)

4. Luo, S.K., Li, L., Xu, Y.L.: Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems. Acta Mech. 225, 2653–2666 (2014)

5. Chen, X.W., Liu, C., Mei, F.X.: Conformal invariance and Hojman conserved quantities of first order Lagrange systems Chin. Phys. B 17, 3180 (2008)

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