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Nonlinear Dynamics

, Volume 92, Issue 4, pp 1947–1954 | Cite as

Symmetry theories for canonicalized equations of constrained Hamiltonian system

  • Shan Cao
  • Jing-Li Fu
Original Paper
  • 85 Downloads

Abstract

In this paper, we give a new method to investigate Noether and Lie symmetries of constrained Hamiltonian system. Firstly, we study the canonicalization of constrained Hamiltonian system. Through variable transformation, the old variables are replaced by the new variables, and at this point, the motion equations for the constrained Hamiltonian system have been canonicalized. Then, we follow the usual symmetry method for the constrained mechanical system, and the Noether and Lie symmetries of constrained Hamiltonian system are given. Finally, three examples are presented to illustrate the application of the results.

Keywords

Constrained Hamiltonian system Canonicalization Noether symmetry Lie symmetry 

Notes

Acknowledgements

This project was supported by the National Natural Science Foundation of China (Grant Nos. 11472247, 11272287) and by the Zhejiang Province Key Science and Technology Innovation Team Project (2013TD18).

Compliance with ethical standards

Conflict of interest

Both authors declare that they have no conflict of interest.

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Mathematical PhysicsZhejiang Sci-Tech UniversityHangzhouChina

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