Symmetry and reduction in implicit generalized Hamiltonian systems

G. Blankenstein, Arjan van der Schaft

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 languageUndefined
Place of PublicationEnschede
PublisherDepartment of Applied Mathematics, University of Twente
StatePublished - 1999

Publication series

NameMemorandum / Department of Mathematics
PublisherDepartment of Applied Mathematics, University of Twente
No.1489
ISSN (Print)0169-2690

Fingerprint

Hamiltonian systems
Theorem
Siméon Denis Poisson
Symmetry

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: Department of Applied Mathematics, University of Twente.

Blankenstein, G.; van der Schaft, Arjan / Symmetry and reduction in implicit generalized Hamiltonian systems.

Enschede : Department of Applied Mathematics, University of Twente, 1999. (Memorandum / Department of Mathematics; No. 1489).

Research output: Other research outputReport

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keywords = "IR-65678, EWI-3309, MSC-58F05, MSC-70F25, MSC-70H05, MSC-70H33, MSC-34A09, MSC-34C20, MSC-34A05",
author = "G. Blankenstein and {van der Schaft}, Arjan",
note = "Imported from MEMORANDA",
year = "1999",
series = "Memorandum / Department of Mathematics",
publisher = "Department of Applied Mathematics, University of Twente",
number = "1489",

}

Blankenstein, G & van der Schaft, A 1999, Symmetry and reduction in implicit generalized Hamiltonian systems. Memorandum / Department of Mathematics, no. 1489, Department of Applied Mathematics, University of Twente, Enschede.

Symmetry and reduction in implicit generalized Hamiltonian systems. / Blankenstein, G.; van der Schaft, Arjan.

Enschede : Department of Applied Mathematics, University of Twente, 1999. (Memorandum / Department of Mathematics; No. 1489).

Research output: Other research outputReport

TY - BOOK

T1 - Symmetry and reduction in implicit generalized Hamiltonian systems

AU - Blankenstein,G.

AU - van der Schaft,Arjan

N1 - Imported from MEMORANDA

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

KW - IR-65678

KW - EWI-3309

KW - MSC-58F05

KW - MSC-70F25

KW - MSC-70H05

KW - MSC-70H33

KW - MSC-34A09

KW - MSC-34C20

KW - MSC-34A05

M3 - Report

T3 - Memorandum / Department of Mathematics

BT - Symmetry and reduction in implicit generalized Hamiltonian systems

PB - Department of Applied Mathematics, University of Twente

ER -

Blankenstein G, van der Schaft A. Symmetry and reduction in implicit generalized Hamiltonian systems. Enschede: Department of Applied Mathematics, University of Twente, 1999. (Memorandum / Department of Mathematics; 1489).