### Abstract

In this paper the notion of symmetry for implicit generalized Hamiltonian systems will be studied and a reduction theorem, generalizing the `classical' reduction theorems of symplectic and Poisson-Hamiltonian systems, will be derived.

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 1999 |

### Publication series

Name | Memorandum / Department of Mathematics |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1489 |

ISSN (Print) | 0169-2690 |

### Keywords

- IR-65678
- EWI-3309
- MSC-58F05
- MSC-70F25
- MSC-70H05
- MSC-70H33
- MSC-34A09
- MSC-34C20
- MSC-34A05

## Cite this

Blankenstein, G., & van der Schaft, A. (1999).

*Symmetry and reduction in implicit generalized Hamiltonian systems*. (Memorandum / Department of Mathematics; No. 1489). Enschede: University of Twente, Department of Applied Mathematics.