Symmetry and reduction in implicit generalized Hamiltonian systems

G. Blankenstein; Arjan van der Schaft

Symmetry and reduction in implicit generalized Hamiltonian systems

G. Blankenstein, Arjan van der Schaft

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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

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Cite this

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title = "Symmetry and reduction in implicit generalized Hamiltonian systems",

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.",

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",

language = "Undefined",

series = "Memorandum / Department of Mathematics",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1489",

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AU - Blankenstein, G.

AU - van der Schaft, Arjan

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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 - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -