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Constrained Hamiltonian Systems and Gröbner Bases

In: Computer Algebra in Scientific Computing CASC’99

Author

Listed:
  • Vladimir P. Gerdt

    (Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation)

  • Soso A. Gogilidze

    (Tbilisi State University, Institute of High Energy Physics)

Abstract

In this paper we consider finite-dimensional constrained Hamiltonian systems of polynomial type. In order to compute the complete set of constraints and separate them into the first and second classes we apply the modern algorithmic methods of commutative algebra based on the use of Gröbner bases. As it is shown, this makes the classical Dirac method fully algorithmic. The underlying algorithm implemented in Maple is presented and some illustrative examples are given.

Suggested Citation

  • Vladimir P. Gerdt & Soso A. Gogilidze, 1999. "Constrained Hamiltonian Systems and Gröbner Bases," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing CASC’99, pages 139-146, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60218-4_10
    DOI: 10.1007/978-3-642-60218-4_10
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