A New Algorithm for Solving Hamiltonian Constrains

JIA Yifeng;CHEN Yufu

Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (4) : 406-415.

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中国科学院数学与系统科学研究院期刊网
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Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (4) : 406-415. DOI: 10.12341/jssms10092
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A New Algorithm for Solving Hamiltonian Constrains

  • JIA Yifeng(1), CHEN Yufu(2)
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Abstract

In this paper, the polynomial type of Hamilton system is considered. Using Wu elimination method, a new algorithm is given to determine the system regularity. For regular systems, the Hamiltonian and motion equations are obtained. For degenerate systems, two new algorithms are given to solve the constraints,
and the constrained Hamiltonian and constrained motion equations are obtained.
These algorithms can be executed in symbolic computation software platform.

Key words

Constraints / characteristic set / Hessian matrix.

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JIA Yifeng , CHEN Yufu. A New Algorithm for Solving Hamiltonian Constrains. Journal of Systems Science and Mathematical Sciences, 2008, 28(4): 406-415 https://doi.org/10.12341/jssms10092
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