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Time transformation and reversibility of Nambu–Poisson systems

Modin, Klas LU (2009) In Journal of Generalized Lie Theory and Applications 3(1). p.39-52
Abstract
A time transformation technique for Nambu–Poisson systems is developed, and its structural

properties are examined. The approach is based on extension of the phase space P

into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown

that time transformation of a system on P can be realised as an extended system on P¯,

with an extended Nambu–Poisson structure. In addition, reversible systems are studied in

conjunction with the Nambu–Poisson structure. The application in mind is adaptive numerical

integration by splitting of Nambu–Poisson Hamiltonians. As an example, a novel

integration method for the rigid body problem is presented and analysed.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Generalized Lie Theory and Applications
volume
3
issue
1
pages
39 - 52
publisher
Ashdin Publishing
ISSN
1736-5279
language
English
LU publication?
yes
id
42f33764-58e7-41ae-9d1d-b43a169c1d1e (old id 1539227)
alternative location
http://www.dinahgroup.com/content/jglta/v3_n1_3.pdf
http://www.ashdin.com/journals/jglta/2009/1/issue1.htm
date added to LUP
2010-01-29 12:56:21
date last changed
2016-04-16 05:42:26
@article{42f33764-58e7-41ae-9d1d-b43a169c1d1e,
  abstract     = {A time transformation technique for Nambu–Poisson systems is developed, and its structural<br/><br>
properties are examined. The approach is based on extension of the phase space P<br/><br>
into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown<br/><br>
that time transformation of a system on P can be realised as an extended system on P¯,<br/><br>
with an extended Nambu–Poisson structure. In addition, reversible systems are studied in<br/><br>
conjunction with the Nambu–Poisson structure. The application in mind is adaptive numerical<br/><br>
integration by splitting of Nambu–Poisson Hamiltonians. As an example, a novel<br/><br>
integration method for the rigid body problem is presented and analysed.},
  author       = {Modin, Klas},
  issn         = {1736-5279},
  language     = {eng},
  number       = {1},
  pages        = {39--52},
  publisher    = {Ashdin Publishing},
  series       = {Journal of Generalized Lie Theory and Applications},
  title        = {Time transformation and reversibility of Nambu–Poisson systems},
  volume       = {3},
  year         = {2009},
}