Authors

A.J. van der Schaft

Abstract

Implicit Hamiltonian systems with symmetry are treated by exploiting the notion of symmetry of Dirac structures. It is shown how Dirac structures can be reduced to Dirac structures on the orbit space of the symmetry group, leading to a reduced implicit (generalized) Hamiltonian system. The approach is specialized to nonholonomic mechanical systems with symmetry.

Keywords

Hamiltonian systems; implicit systems; Dirac structures; symmetry; reduction; nonholonomic constraints

Citation

  • Journal: Reports on Mathematical Physics
  • Year: 1998
  • Volume: 41
  • Issue: 2
  • Pages: 203–221
  • Publisher: Elsevier BV
  • DOI: 10.1016/s0034-4877(98)80176-6

BibTeX

@article{van_der_Schaft_1998,
  title={{Implicit Hamiltonian systems with symmetry}},
  volume={41},
  ISSN={0034-4877},
  DOI={10.1016/s0034-4877(98)80176-6},
  number={2},
  journal={Reports on Mathematical Physics},
  publisher={Elsevier BV},
  author={van der Schaft, A.J.},
  year={1998},
  pages={203--221}
}

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References

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