Journal of Statistical Physics

, Volume 61, Issue 5–6, pp 1203–1222 | Cite as

Hamilton's equations for constrained dynamical systems

  • Simon W. de Leeuw
  • John W. Perram
  • Henrik G. Petersen


We derive expressions for the conjugate momenta and the Hamiltonian for classical dynamical systems subject to holonomic constraints. We give an algorithm for correcting deviations of the constraints arising in numerical solution of the equations of motion. We obtain an explicit expression for the momentum integral for constrained systems.

Key words

Constraint dynamics Hamiltonian metric tensor 


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Simon W. de Leeuw
    • 1
  • John W. Perram
    • 2
  • Henrik G. Petersen
    • 2
  1. 1.Laboratory for Physical ChemistryUniversity of AmsterdamWS AmsterdamThe Netherlands
  2. 2.Department of Mathematics and Computer ScienceOdense UniversityOdense MDenmark

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