CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM

  • Shan Cao Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou310018, China
  • Jing-Li Fu Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou310018, China
  • Hua-Shu Dou Faculty of Mechanical Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China
Keywords: Singular Lagrangian System, Constrained Hamiltonian System, Motion Equation, Canonicalization

Abstract

In this paper, the canonicalization of constrained Hamiltonian system is discussed. Because the constrained Hamiltonian equations are non-canonical, they lead to many limitations in the research. For this purpose, variable transformation is constructed that satisfies the condition of canonical equation, and the new variables can be obtained by a series of derivations. Finally, two examples are given to illustrate the applications of the result.

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Published
2017-12-31
How to Cite
Cao, S., Jing-Li Fu, & Dou, H.-S. (2017). CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM. International Journal of Engineering Technologies and Management Research, 4(12), 107-117. https://doi.org/10.29121/ijetmr.v4.i12.2017.140